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90493859502 = 236174777681
BaseRepresentation
bin101010001000111011…
…0101011011010101110
322122120200011101000000
41110101312223122232
52440312412001002
6105323341245130
76352344054114
oct1242166533256
9278520141000
1090493859502
1135418474042
12156562637a6
1386c2237437
144546735ab4
1525498d061c
hex1511dab6ae

90493859502 has 112 divisors (see below), whose sum is σ = 220077456192. Its totient is φ = 27785825280.

The previous prime is 90493859441. The next prime is 90493859531. The reversal of 90493859502 is 20595839409.

It is a happy number.

90493859502 is a `hidden beast` number, since 9 + 0 + 49 + 3 + 8 + 595 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1126102 + ... + 1203782.

Almost surely, 290493859502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90493859502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110038728096).

90493859502 is an abundant number, since it is smaller than the sum of its proper divisors (129583596690).

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

90493859502 is a wasteful number, since it uses less digits than its factorization.

90493859502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77765 (or 77750 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 90493859502 in words is "ninety billion, four hundred ninety-three million, eight hundred fifty-nine thousand, five hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 141 153 162 243 282 306 423 459 486 729 799 846 918 1269 1377 1458 1598 2397 2538 2754 3807 4131 4794 7191 7614 8262 11421 12393 14382 21573 22842 24786 34263 43146 64719 68526 77681 129438 155362 194157 233043 388314 466086 582471 699129 1164942 1320577 1398258 2097387 2641154 3651007 3961731 4194774 6292161 7302014 7923462 10953021 11885193 12584322 18876483 21906042 23770386 32859063 35655579 37752966 56629449 62067119 65718126 71311158 98577189 106966737 113258898 124134238 186201357 197154378 213933474 295731567 320900211 372402714 558604071 591463134 641800422 887194701 962700633 1117208142 1675812213 1774389402 1925401266 2661584103 3351624426 5027436639 5323168206 10054873278 15082309917 30164619834 45246929751 90493859502