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37830137357 = 418811047317
BaseRepresentation
bin100011001110110110…
…100001011000001101
310121122110002002112102
4203032312201120031
51104434003343412
625213503044445
72506315601435
oct431666413015
9117573062472
1037830137357
1115053143131
1273b92a0725
13374b67357c
141b8c3372c5
15eb626e8c2
hex8ceda160d

37830137357 has 8 divisors (see below), whose sum is σ = 38796847992. Its totient is φ = 36865523200.

The previous prime is 37830137353. The next prime is 37830137399. The reversal of 37830137357 is 75373103873.

It can be written as a sum of positive squares in 4 ways, for example, as 2948598601 + 34881538756 = 54301^2 + 186766^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37830137357 - 22 = 37830137353 is a prime.

It is a super-2 number, since 2×378301373572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37830137353) 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, 487538 + ... + 559779.

It is an arithmetic number, because the mean of its divisors is an integer number (4849605999).

Almost surely, 237830137357 is an apocalyptic number.

It is an amenable number.

37830137357 is a deficient number, since it is larger than the sum of its proper divisors (966710635).

37830137357 is a wasteful number, since it uses less digits than its factorization.

37830137357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048239.

The product of its (nonzero) digits is 1111320, while the sum is 47.

The spelling of 37830137357 in words is "thirty-seven billion, eight hundred thirty million, one hundred thirty-seven thousand, three hundred fifty-seven".

Divisors: 1 41 881 36121 1047317 42939997 922686277 37830137357