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89792201538 = 23413218112
BaseRepresentation
bin101001110100000001…
…0000100001101000010
322120202202212110020000
41103220002010031002
52432343300422123
6105125554300430
76326064056064
oct1235002041502
9276682773200
1089792201538
11350983a2026
121549b287716
13860ca67500
1444bb489734
152507ed1b43
hex14e8084342

89792201538 has 90 divisors (see below), whose sum is σ = 217988955657. Its totient is φ = 27613113840.

The previous prime is 89792201537. The next prime is 89792201573. The reversal of 89792201538 is 83510229798.

89792201538 is a `hidden beast` number, since 89 + 7 + 9 + 2 + 20 + 1 + 538 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76774988889 + 13017212649 = 277083^2 + 114093^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=211887.

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

It is not an unprimeable number, because it can be changed into a prime (89792201537) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49580653 + ... + 49582463.

Almost surely, 289792201538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89792201538

89792201538 is an abundant number, since it is smaller than the sum of its proper divisors (128196754119).

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

89792201538 is an equidigital number, since it uses as much as digits as its factorization.

89792201538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 89792201538 in words is "eighty-nine billion, seven hundred ninety-two million, two hundred one thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 1811 2106 3042 3622 4563 5433 9126 10866 13689 16299 23543 27378 32598 47086 48897 70629 97794 141258 146691 211887 293382 306059 423774 612118 635661 918177 1271322 1836354 1906983 2754531 3279721 3813966 5509062 6559442 8263593 9839163 16527186 19678326 24790779 29517489 42636373 49581558 59034978 85272746 88552467 127909119 177104934 255818238 265657401 383727357 531314802 554272849 767454714 1108545698 1151182071 1662818547 2302364142 3325637094 3453546213 4988455641 6907092426 9976911282 14965366923 29930733846 44896100769 89792201538