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38746112427728 = 2417233611368853
BaseRepresentation
bin10001100111101010010000…
…10001001000011011010000
312002012002111012020121002222
420303311020101020123100
520034304014240141403
6214223415054000212
711106212533403666
oct1063651021103320
9162162435217088
1038746112427728
11113891523a1392
12441930a7a6068
1318809869c3a24
1497d471214c36
15472d1e223338
hex233d484486d0

38746112427728 has 40 divisors (see below), whose sum is σ = 79827654004488. Its totient is φ = 18155209428992.

The previous prime is 38746112427721. The next prime is 38746112427731. The reversal of 38746112427728 is 82772421164783.

It can be written as a sum of positive squares in 4 ways, for example, as 407130772624 + 38338981655104 = 638068^2 + 6191848^2 .

It is a super-2 number, since 2×387461124277282 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38746112427721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305621051 + ... + 305747802.

Almost surely, 238746112427728 is an apocalyptic number.

It is an amenable number.

38746112427728 is an abundant number, since it is smaller than the sum of its proper divisors (41081541576760).

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

38746112427728 is a wasteful number, since it uses less digits than its factorization.

38746112427728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611369111 (or 611369105 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 62.

The spelling of 38746112427728 in words is "thirty-eight trillion, seven hundred forty-six billion, one hundred twelve million, four hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 233 272 466 932 1864 3728 3961 7922 15844 31688 63376 611368853 1222737706 2445475412 4890950824 9781901648 10393270501 20786541002 41573082004 83146164008 142448942749 166292328016 284897885498 569795770996 1139591541992 2279183083984 2421632026733 4843264053466 9686528106932 19373056213864 38746112427728