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93132141784944 = 24331611026045983
BaseRepresentation
bin10101001011010000000100…
…001110100110111101110000
3110012202100100002102202010120
4111023100010032212331300
544201334111244104234
6530024152034130240
725421401202414253
oct2513200416467560
9405670302382116
1093132141784944
11277471350a6769
12a541771a20980
133cc7428350112
1418dd8966cb09a
15ab78a9ea2049
hex54b4043a6f70

93132141784944 has 80 divisors (see below), whose sum is σ = 252423728799744. Its totient is φ = 29550124281600.

The previous prime is 93132141784943. The next prime is 93132141784951. The reversal of 93132141784944 is 44948714123139.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93132141784943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512932224 + ... + 513113759.

Almost surely, 293132141784944 is an apocalyptic number.

It is an amenable number.

93132141784944 is an abundant number, since it is smaller than the sum of its proper divisors (159291587014800).

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

93132141784944 is a wasteful number, since it uses less digits than its factorization.

93132141784944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026046086 (or 1026046080 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 93132141784944 in words is "ninety-three trillion, one hundred thirty-two billion, one hundred forty-one million, seven hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 488 496 732 744 976 1464 1488 1891 2928 3782 5673 7564 11346 15128 22692 30256 45384 90768 1026045983 2052091966 3078137949 4104183932 6156275898 8208367864 12312551796 16416735728 24625103592 31807425473 49250207184 62588804963 63614850946 95422276419 125177609926 127229701892 187766414889 190844552838 250355219852 254459403784 375532829778 381689105676 500710439704 508918807568 751065659556 763378211352 1001420879408 1502131319112 1526756422704 1940252953853 3004262638224 3880505907706 5820758861559 7761011815412 11641517723118 15522023630824 23283035446236 31044047261648 46566070892472 93132141784944