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37137053412 = 22321031584817
BaseRepresentation
bin100010100101100010…
…100111011011100100
310112212010220210002200
4202211202213123210
51102024041202122
625021023534500
72453201513514
oct424542473344
9115763823080
1037137053412
1114827997988
12724515a430
13366abb6124
141b2427d844
15e754b65ac
hex8a58a76e4

37137053412 has 18 divisors (see below), whose sum is σ = 93874218438. Its totient is φ = 12379017792.

The previous prime is 37137053399. The next prime is 37137053417. The reversal of 37137053412 is 21435073173.

37137053412 is a `hidden beast` number, since 37 + 13 + 70 + 534 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20613493476 + 16523559936 = 143574^2 + 128544^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×371370534122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1031584817 = 37137053412 / (3 + 7 + 1 + 3 + 7 + 0 + 5 + 3 + 4 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (37137053417) 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 5 ways as a sum of consecutive naturals, for example, 515792373 + ... + 515792444.

Almost surely, 237137053412 is an apocalyptic number.

It is an amenable number.

37137053412 is an abundant number, since it is smaller than the sum of its proper divisors (56737165026).

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

37137053412 is a wasteful number, since it uses less digits than its factorization.

37137053412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031584827 (or 1031584822 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 37137053412 in words is "thirty-seven billion, one hundred thirty-seven million, fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1031584817 2063169634 3094754451 4126339268 6189508902 9284263353 12379017804 18568526706 37137053412