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31376257434 = 23217831235383
BaseRepresentation
bin11101001110001010…
…111011000110011010
32222222122222000122200
4131032022323012122
51003224310214214
622225234031030
72160350534124
oct351612730632
988878860580
1031376257434
1112341096675
1260b7a18476
132c6054cb02
14173913a214
15c3987dd09
hex74e2bb19a

31376257434 has 48 divisors (see below), whose sum is σ = 72848123712. Its totient is φ = 9724927104.

The previous prime is 31376257397. The next prime is 31376257459. The reversal of 31376257434 is 43475267313.

31376257434 is a `hidden beast` number, since 3 + 1 + 3 + 76 + 2 + 574 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31376257434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592294 + ... + 643089.

It is an arithmetic number, because the mean of its divisors is an integer number (1517669244).

Almost surely, 231376257434 is an apocalyptic number.

31376257434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31376257434 is an abundant number, since it is smaller than the sum of its proper divisors (41471866278).

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

31376257434 is a wasteful number, since it uses less digits than its factorization.

31376257434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235491 (or 1235488 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 31376257434 in words is "thirty-one billion, three hundred seventy-six million, two hundred fifty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 1411 1494 2822 4233 8466 12699 25398 1235383 2470766 3706149 7412298 11118447 21001511 22236894 42003022 63004533 102536789 126009066 189013599 205073578 307610367 378027198 615220734 922831101 1743125413 1845662202 3486250826 5229376239 10458752478 15688128717 31376257434