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90898436400324 = 223719527331080043
BaseRepresentation
bin10100101010101111110001…
…000000110010010011000100
3102220211210202022200021011120
4110222233301000302103010
543403234444204302244
6521154055403433540
725101123664051560
oct2452576100622304
9386753668607146
1090898436400324
1126a658a06a3413
12a2408865258b0
133b948bb847017
14186371756c6a0
15a79724999819
hex52abf10324c4

90898436400324 has 96 divisors (see below), whose sum is σ = 255158580526080. Its totient is φ = 24603598689408.

The previous prime is 90898436400323. The next prime is 90898436400347. The reversal of 90898436400324 is 42300463489809.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90898436400323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83621847 + ... + 84701889.

It is an arithmetic number, because the mean of its divisors is an integer number (2657901880480).

Almost surely, 290898436400324 is an apocalyptic number.

It is an amenable number.

90898436400324 is an abundant number, since it is smaller than the sum of its proper divisors (164260144125756).

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

90898436400324 is a wasteful number, since it uses less digits than its factorization.

90898436400324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132809 (or 1132807 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 90898436400324 in words is "ninety trillion, eight hundred ninety-eight billion, four hundred thirty-six million, four hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 52733 105466 158199 210932 316398 369131 632796 738262 1001927 1080043 1107393 1476524 2003854 2160086 2214786 3005781 3240129 4007708 4320172 4429572 6011562 6480258 7013489 7560301 12023124 12960516 14026978 15120602 20520817 21040467 22680903 28053956 30241204 41041634 42080934 45361806 61562451 82083268 84161868 90723612 123124902 143645719 246249804 287291438 430937157 574582876 861874314 1723748628 56953907519 113907815038 170861722557 227815630076 341723445114 398677352633 683446890228 797354705266 1082124242861 1196032057899 1594709410532 2164248485722 2392064115798 3246372728583 4328496971444 4784128231596 6492745457166 7574869700027 12985490914332 15149739400054 22724609100081 30299478800108 45449218200162 90898436400324