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90046667964 = 223112977330431
BaseRepresentation
bin101001111011100110…
…0110001110010111100
322121102111200200112110
41103313030301302330
52433403421333324
6105211124334020
76335304022521
oct1236714616274
9277374620473
1090046667964
1135208aa6460
1215550544310
1386506b1b66
1445031a9148
1525204e9329
hex14f7331cbc

90046667964 has 96 divisors (see below), whose sum is σ = 237428029440. Its totient is φ = 26310995200.

The previous prime is 90046667929. The next prime is 90046668011. The reversal of 90046667964 is 46976664009.

It is a super-2 number, since 2×900466679642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943829 + ... + 2974259.

It is an arithmetic number, because the mean of its divisors is an integer number (2473208640).

Almost surely, 290046667964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90046667964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118714014720).

90046667964 is an abundant number, since it is smaller than the sum of its proper divisors (147381361476).

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

90046667964 is a wasteful number, since it uses less digits than its factorization.

90046667964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31251 (or 31249 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 90046667964 in words is "ninety billion, forty-six million, six hundred sixty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 773 957 1276 1546 1914 2319 3092 3828 4638 8503 9276 17006 22417 25509 30431 34012 44834 51018 60862 67251 89668 91293 102036 121724 134502 182586 246587 269004 334741 365172 493174 669482 739761 882499 986348 1004223 1338964 1479522 1764998 2008446 2647497 2959044 3529996 4016892 5294994 9707489 10589988 19414978 23523163 29122467 38829956 47046326 58244934 70569489 94092652 116489868 141138978 258754793 282277956 517509586 682171727 776264379 1035019172 1364343454 1552528758 2046515181 2728686908 3105057516 4093030362 7503888997 8186060724 15007777994 22511666991 30015555988 45023333982 90046667964