Search a number
-
+
36809736520194 = 23311232291744679
BaseRepresentation
bin10000101111010011011110…
…10001010000001000000010
311211022222100211100112011000
420113221233101100020002
514311042320022121234
6210142054242032430
710516262404640601
oct1027515721201002
9154288324315130
1036809736520194
1110801a15701a00
124165b82348716
1317701b2983a61
1491385a679a38
1543c78bc18899
hex217a6f450202

36809736520194 has 96 divisors (see below), whose sum is σ = 89939649744000. Its totient is φ = 11151004756320.

The previous prime is 36809736520189. The next prime is 36809736520279. The reversal of 36809736520194 is 49102563790863.

36809736520194 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 97 + 3 + 6 + 520 + 19 + 4 = 666.

It is a super-2 number, since 2×368097365201942 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20225947 + ... + 21970625.

It is an arithmetic number, because the mean of its divisors is an integer number (936871351500).

It is a 1-persistent number, because it is pandigital, but 2⋅36809736520194 = 73619473040388 is not.

Almost surely, 236809736520194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36809736520194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44969824872000).

36809736520194 is an abundant number, since it is smaller than the sum of its proper divisors (53129913223806).

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

36809736520194 is a wasteful number, since it uses less digits than its factorization.

36809736520194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747941 (or 1747924 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 36809736520194 in words is "thirty-six trillion, eight hundred nine billion, seven hundred thirty-six million, five hundred twenty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3229 3267 6458 6534 9687 19374 29061 35519 58122 71038 87183 106557 174366 213114 319671 390709 639342 781418 959013 1172127 1744679 1918026 2344254 3489358 3516381 5234037 7032762 10468074 10549143 15702111 19191469 21098286 31404222 38382938 47106333 57574407 94212666 115148814 172723221 211106159 345446442 422212318 518169663 633318477 1036339326 1266636954 1899955431 3799910862 5633568491 5699866293 11267136982 11399732586 16900705473 33801410946 50702116419 61969253401 101404232838 123938506802 152106349257 185907760203 304212698514 371815520406 557723280609 681661787411 1115446561218 1363323574822 1673169841827 2044985362233 3346339683654 4089970724466 6134956086699 12269912173398 18404868260097 36809736520194