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10213268791194 = 232747271516821
BaseRepresentation
bin1001010010011111011001…
…0000100001111110011010
31100011101020021002100222200
42110213312100201332122
52314313233302304234
633415524431231030
72102612215223610
oct224476620417632
940141207070880
1010213268791194
113288471a78457
12118b497078476
1359115143ac21
142744795476b0
1512aa0d210d99
hex949f6421f9a

10213268791194 has 144 divisors (see below), whose sum is σ = 26203520393856. Its totient is φ = 2815759396800.

The previous prime is 10213268791153. The next prime is 10213268791199. The reversal of 10213268791194 is 49119786231201.

10213268791194 is a `hidden beast` number, since 1 + 0 + 213 + 268 + 79 + 11 + 94 = 666.

10213268791194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10213268791194.

It is not an unprimeable number, because it can be changed into a prime (10213268791199) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19503304 + ... + 20020124.

It is an arithmetic number, because the mean of its divisors is an integer number (181968891624).

Almost surely, 210213268791194 is an apocalyptic number.

10213268791194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213268791194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101760196928).

10213268791194 is an abundant number, since it is smaller than the sum of its proper divisors (15990251602662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213268791194 is a wasteful number, since it uses less digits than its factorization.

10213268791194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517001 (or 516951 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10213268791194 in words is "ten trillion, two hundred thirteen billion, two hundred sixty-eight million, seven hundred ninety-one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 71 94 126 141 142 213 282 329 423 426 497 639 658 846 987 994 1278 1491 1974 2209 2961 2982 3337 4418 4473 5922 6627 6674 8946 10011 13254 15463 19881 20022 23359 30033 30926 39762 46389 46718 60066 70077 92778 139167 140154 156839 210231 278334 313678 420462 470517 516821 941034 1033642 1097873 1411551 1550463 2195746 2823102 3100926 3293619 3617747 4651389 6587238 7235494 9302778 9880857 10853241 19761714 21706482 24290587 32559723 36694291 48581174 65119446 72871761 73388582 110082873 145743522 170034109 218615283 220165746 256860037 330248619 340068218 437230566 510102327 513720074 660497238 770580111 1020204654 1141657589 1530306981 1541160222 1724631677 2283315178 2311740333 3060613962 3424972767 3449263354 4623480666 5173895031 6849945534 7991603123 10274918301 10347790062 12072421739 15521685093 15983206246 20549836602 23974809369 24144843478 31043370186 36217265217 47949618738 71924428107 72434530434 81057688819 108651795651 143848856214 162115377638 217303591302 243173066457 486346132914 567403821733 729519199371 1134807643466 1459038398742 1702211465199 3404422930398 5106634395597 10213268791194