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37431681321 = 3312891131291
BaseRepresentation
bin100010110111000110…
…100010000100101001
310120121200022102121110
4202313012202010221
51103130002300241
625110150500533
72463410020146
oct426706420451
9116550272543
1037431681321
1114969232221
127307964749
1336b6c52978
141b514553cd
15e912b3816
hex8b71a2129

37431681321 has 48 divisors (see below), whose sum is σ = 52652514240. Its totient is φ = 23648486400.

The previous prime is 37431681311. The next prime is 37431681323. The reversal of 37431681321 is 12318613473.

It is not a de Polignac number, because 37431681321 - 27 = 37431681193 is a prime.

It is a super-2 number, since 2×374316813212 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37431681321.

It is not an unprimeable number, because it can be changed into a prime (37431681323) 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, 28993686 + ... + 28994976.

It is an arithmetic number, because the mean of its divisors is an integer number (1096927380).

Almost surely, 237431681321 is an apocalyptic number.

37431681321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

37431681321 is a deficient number, since it is larger than the sum of its proper divisors (15220832919).

37431681321 is a wasteful number, since it uses less digits than its factorization.

37431681321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1527 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The spelling of 37431681321 in words is "thirty-seven billion, four hundred thirty-one million, six hundred eighty-one thousand, three hundred twenty-one".

Divisors: 1 3 31 89 93 113 267 339 961 1291 2759 2883 3503 3873 8277 10057 10509 30171 40021 85529 108593 114899 120063 145883 256587 311767 325779 344697 437649 935301 1240651 3561869 3721953 4522373 9664777 10685607 12983587 13567119 28994331 38950761 110417939 140193563 331253817 402491197 420580689 1207473591 12477227107 37431681321