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31860431416 = 231110127712941
BaseRepresentation
bin11101101011000001…
…111001101000111000
310001020102000121111101
4131223001321220320
51010222232301131
622345251341144
72205350125102
oct355301715070
9101212017441
1031860431416
111256a423760
126211bb17b4
1330099535a8
141783572572
15c6711cc61
hex76b079a38

31860431416 has 64 divisors (see below), whose sum is σ = 66057003360. Its totient is φ = 14285760000.

The previous prime is 31860431411. The next prime is 31860431429. The reversal of 31860431416 is 61413406813.

It is a super-3 number, since 3×318604314163 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31860431411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2455506 + ... + 2468446.

Almost surely, 231860431416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31860431416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33028501680).

31860431416 is an abundant number, since it is smaller than the sum of its proper divisors (34196571944).

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

31860431416 is a wasteful number, since it uses less digits than its factorization.

31860431416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336 (or 13332 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 31860431416 in words is "thirty-one billion, eight hundred sixty million, four hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 101 202 277 404 554 808 1108 1111 2216 2222 3047 4444 6094 8888 12188 12941 24376 25882 27977 51764 55954 103528 111908 142351 223816 284702 307747 569404 615494 1138808 1230988 1307041 2461976 2614082 3584657 5228164 7169314 10456328 14338628 14377451 28677256 28754902 39431227 57509804 78862454 115019608 157724908 315449816 362050357 724100714 1448201428 2896402856 3982553927 7965107854 15930215708 31860431416