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37830137016 = 2337225179387
BaseRepresentation
bin100011001110110110…
…100001010010111000
310121122110002002001210
4203032312201102320
51104434003341031
625213503043120
72506315600440
oct431666412270
9117573062053
1037830137016
1115053142951
1273b92a04a0
13374b673379
141b8c337120
15eb626e746
hex8ceda14b8

37830137016 has 32 divisors (see below), whose sum is σ = 108086106240. Its totient is φ = 10808610528.

The previous prime is 37830137011. The next prime is 37830137027. The reversal of 37830137016 is 61073103873.

It is a super-2 number, since 2×378301370162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37830137011) 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 7 ways as a sum of consecutive naturals, for example, 112589526 + ... + 112589861.

It is an arithmetic number, because the mean of its divisors is an integer number (3377690820).

Almost surely, 237830137016 is an apocalyptic number.

It is an amenable number.

37830137016 is an abundant number, since it is smaller than the sum of its proper divisors (70255969224).

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

37830137016 is a wasteful number, since it uses less digits than its factorization.

37830137016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225179403 (or 225179399 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 37830137016 in words is "thirty-seven billion, eight hundred thirty million, one hundred thirty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 225179387 450358774 675538161 900717548 1351076322 1576255709 1801435096 2702152644 3152511418 4728767127 5404305288 6305022836 9457534254 12610045672 18915068508 37830137016