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37428002057 = 277221361057
BaseRepresentation
bin100010110110111000…
…011111110100001001
310120121102101111121102
4202312320133310021
51103123032031212
625105535551145
72463333524345
oct426670376411
9116542344542
1037428002057
1114967149a06
12730668b4b5
1336b62650a4
141b50b78625
15e90cd85c2
hex8b6e1fd09

37428002057 has 8 divisors (see below), whose sum is σ = 37580710536. Its totient is φ = 37275420672.

The previous prime is 37428002047. The next prime is 37428002071. The reversal of 37428002057 is 75020082473.

It can be written as a sum of positive squares in 4 ways, for example, as 19201922041 + 18226080016 = 138571^2 + 135004^2 .

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 37428002057 - 224 = 37411224841 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37428002057.

It is not an unprimeable number, because it can be changed into a prime (37428002047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582473 + ... + 643529.

It is an arithmetic number, because the mean of its divisors is an integer number (4697588817).

Almost surely, 237428002057 is an apocalyptic number.

It is an amenable number.

37428002057 is a deficient number, since it is larger than the sum of its proper divisors (152708479).

37428002057 is a wasteful number, since it uses less digits than its factorization.

37428002057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63547.

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 37428002057 in words is "thirty-seven billion, four hundred twenty-eight million, two thousand, fifty-seven".

Divisors: 1 277 2213 61057 613001 16912789 135119141 37428002057