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37407006740 = 22553337104717
BaseRepresentation
bin100010110101101000…
…011010000000010100
310120112221212211110002
4202311220122000110
51103102143203430
625103505550432
72462660211455
oct426550320024
9116487784402
1037407006740
1114956309904
1272bb645418
1336b1ac391c
141b4c07112c
15e8e03c845
hex8b5a1a014

37407006740 has 48 divisors (see below), whose sum is σ = 80275143312. Its totient is φ = 14636783616.

The previous prime is 37407006733. The next prime is 37407006743. The reversal of 37407006740 is 4760070473.

It can be written as a sum of positive squares in 8 ways, for example, as 3846232324 + 33560774416 = 62018^2 + 183196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 37407006694 and 37407006703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37407006743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304862 + ... + 409578.

It is an arithmetic number, because the mean of its divisors is an integer number (1672398819).

Almost surely, 237407006740 is an apocalyptic number.

It is an amenable number.

37407006740 is an abundant number, since it is smaller than the sum of its proper divisors (42868136572).

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

37407006740 is a wasteful number, since it uses less digits than its factorization.

37407006740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105116 (or 105114 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 38.

The spelling of 37407006740 in words is "thirty-seven billion, four hundred seven million, six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 337 530 674 1060 1348 1685 3370 6740 17861 35722 71444 89305 104717 178610 209434 357220 418868 523585 1047170 2094340 5550001 11100002 22200004 27750005 35289629 55500010 70579258 111000020 141158516 176448145 352896290 705792580 1870350337 3740700674 7481401348 9351751685 18703503370 37407006740