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31642734474 = 232131712776229
BaseRepresentation
bin11101011110000011…
…011100111110001010
310000200020101110102200
4131132003130332022
51004301020000344
622311513341030
72200064543121
oct353603347612
9100606343380
1031642734474
111246855382a
126171107776
132ca3811230
1417626a4ab8
15c52e6a069
hex75e0dcf8a

31642734474 has 96 divisors (see below), whose sum is σ = 78249946320. Its totient is φ = 9154861056.

The previous prime is 31642734469. The next prime is 31642734479. The reversal of 31642734474 is 47443724613.

It is an interprime number because it is at equal distance from previous prime (31642734469) and next prime (31642734479).

It can be written as a sum of positive squares in 8 ways, for example, as 16927831449 + 14714903025 = 130107^2 + 121305^2 .

It is not an unprimeable number, because it can be changed into a prime (31642734479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5076792 + ... + 5083020.

Almost surely, 231642734474 is an apocalyptic number.

31642734474 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31642734474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39124973160).

31642734474 is an abundant number, since it is smaller than the sum of its proper divisors (46607211846).

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

31642734474 is a wasteful number, since it uses less digits than its factorization.

31642734474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544 (or 7541 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The spelling of 31642734474 in words is "thirty-one billion, six hundred forty-two million, seven hundred thirty-four thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1277 1326 1989 2554 3831 3978 6229 7662 11493 12458 16601 18687 21709 22986 33202 37374 43418 49803 56061 65127 80977 99606 105893 112122 130254 149409 161954 195381 211786 242931 282217 298818 317679 390762 485862 564434 635358 728793 846651 953037 1376609 1457586 1693302 1906074 2539953 2753218 4129827 5079906 7954433 8259654 12389481 15908866 23863299 24778962 47726598 71589897 103407629 135225361 143179794 206815258 270450722 310222887 405676083 620445774 811352166 930668661 1217028249 1757929693 1861337322 2434056498 3515859386 5273789079 10547578158 15821367237 31642734474