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38502400187057 = 372130492155297
BaseRepresentation
bin10001100000100100010011…
…11000101101101010110001
312001022210102110200000020212
420300102021320231222301
520021310403421441212
6213515431454513505
711052464240501042
oct1060221170555261
9161283373600225
1038502400187057
11112a485a171854
12439a033b05895
1318639b7503cb1
1497175191a8c9
1546b808433e22
hex230489e2dab1

38502400187057 has 12 divisors (see below), whose sum is σ = 39574180932300. Its totient is φ = 37458906541056.

The previous prime is 38502400187023. The next prime is 38502400187089. The reversal of 38502400187057 is 75078100420583.

It can be written as a sum of positive squares in 6 ways, for example, as 16790006148721 + 21712394038336 = 4097561^2 + 4659656^2 .

It is not a de Polignac number, because 38502400187057 - 26 = 38502400186993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38502400186996 and 38502400187014.

It is not an unprimeable number, because it can be changed into a prime (38502400187957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16786433 + ... + 18941729.

It is an arithmetic number, because the mean of its divisors is an integer number (3297848411025).

Almost surely, 238502400187057 is an apocalyptic number.

38502400187057 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

38502400187057 is a deficient number, since it is larger than the sum of its proper divisors (1071780745243).

38502400187057 is a wasteful number, since it uses less digits than its factorization.

38502400187057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168420 (or 2168383 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 38502400187057 in words is "thirty-eight trillion, five hundred two billion, four hundred million, one hundred eighty-seven thousand, fifty-seven".

Divisors: 1 37 1369 13049 482813 2155297 17864081 79745989 2950601593 28124470553 1040605410461 38502400187057