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31497020676 = 223211226892
BaseRepresentation
bin11101010101010111…
…100110010100000100
310000022002012102200100
4131111113212110010
51004001214130201
622245230244100
72163345154422
oct352527462404
9100262172610
1031497020676
11123a3279900
126130356630
132c7c583254
14174b1b4112
15c45285886
hex7555e6504

31497020676 has 81 divisors (see below), whose sum is σ = 87545973333. Its totient is φ = 9541002240.

The previous prime is 31497020603. The next prime is 31497020741. The reversal of 31497020676 is 67602079413.

The square root of 31497020676 is 177474.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1137443076 + 30359577600 = 33726^2 + 174240^2 .

It is a super-2 number, since 2×314970206762 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11711940 + ... + 11714628.

Almost surely, 231497020676 is an apocalyptic number.

31497020676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31497020676 is the 177474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31497020676

31497020676 is an abundant number, since it is smaller than the sum of its proper divisors (56048952657).

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

31497020676 is a wasteful number, since it uses less digits than its factorization.

31497020676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 31497020676 in words is "thirty-one billion, four hundred ninety-seven million, twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2689 4356 5378 8067 10756 16134 24201 29579 32268 48402 59158 88737 96804 118316 177474 266211 325369 354948 532422 650738 976107 1064844 1301476 1952214 2928321 3904428 5856642 7230721 11713284 14461442 21692163 28922884 43384326 65076489 79537931 86768652 130152978 159075862 238613793 260305956 318151724 477227586 715841379 874917241 954455172 1431682758 1749834482 2624751723 2863365516 3499668964 5249503446 7874255169 10499006892 15748510338 31497020676