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31931842761 = 347134332091
BaseRepresentation
bin11101101111010010…
…010100000011001001
310001102101101200110000
4131233102110003021
51010344022432021
622400322113213
72210205120330
oct355722240311
9101371350400
1031931842761
11125a67690a5
126231aab809
13301b697620
14178cc40d17
15c6d526b26
hex76f4940c9

31931842761 has 40 divisors (see below), whose sum is σ = 58708510784. Its totient is φ = 16843165920.

The previous prime is 31931842729. The next prime is 31931842819. The reversal of 31931842761 is 16724813913.

It is not a de Polignac number, because 31931842761 - 25 = 31931842729 is a prime.

It is a super-2 number, since 2×319318427612 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31931842711) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2158675 + ... + 2173416.

Almost surely, 231931842761 is an apocalyptic number.

It is an amenable number.

31931842761 is a deficient number, since it is larger than the sum of its proper divisors (26776668023).

31931842761 is a wasteful number, since it uses less digits than its factorization.

31931842761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332123 (or 4332114 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 31931842761 in words is "thirty-one billion, nine hundred thirty-one million, eight hundred forty-two thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 2457 7371 4332091 12996273 30324637 38988819 56317183 90973911 116966457 168951549 272921733 350899371 394220281 506854647 818765199 1182660843 1520563941 2456295597 3547982529 4561691823 10643947587 31931842761