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457074972105 = 3517137117111173
BaseRepresentation
bin1101010011010111100…
…10101001010111001001
31121200210100012100210120
412221223302221113021
524442042143101410
6545551034533453
745010513105413
oct6515362512711
91550710170716
10457074972105
111669319a6734
1274701597289
13341430a399b
14181a03a79b3
15bd52466570
hex6a6bca95c9

457074972105 has 64 divisors (see below), whose sum is σ = 780726843648. Its totient is φ = 227544145920.

The previous prime is 457074972089. The next prime is 457074972119. The reversal of 457074972105 is 501279470754.

It is not a de Polignac number, because 457074972105 - 24 = 457074972089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40903299 + ... + 40914471.

It is an arithmetic number, because the mean of its divisors is an integer number (12198856932).

Almost surely, 2457074972105 is an apocalyptic number.

It is an amenable number.

457074972105 is a deficient number, since it is larger than the sum of its proper divisors (323651871543).

457074972105 is a wasteful number, since it uses less digits than its factorization.

457074972105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506.

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 457074972105 in words is "four hundred fifty-seven billion, seventy-four million, nine hundred seventy-two thousand, one hundred five".

Divisors: 1 3 5 15 17 51 85 137 255 411 685 1171 2055 2329 3513 5855 6987 11173 11645 17565 19907 33519 34935 55865 59721 99535 160427 167595 189941 298605 481281 569823 802135 949705 1530701 2406405 2727259 2849115 4592103 7653505 8181777 13083583 13636295 22960515 26021917 39250749 40908885 65417915 78065751 130109585 196253745 222420911 390328755 667262733 1112104555 1792450871 3336313665 5377352613 8962254355 26886763065 30471664807 91414994421 152358324035 457074972105