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29674056017125 = 5313136113417309
BaseRepresentation
bin1101011111101000001111…
…00100010110010011100101
310220001210220222120211212101
412233310013210112103211
512342134431320022000
6143040023444252101
76151610525266522
oct657640744262345
9126053828524771
1029674056017125
1195007730254a3
1233b30453a1031
1313733366510b0
14748336776149
15366d54b2de6a
hex1afd079164e5

29674056017125 has 32 divisors (see below), whose sum is σ = 39911237664480. Its totient is φ = 21897046656000.

The previous prime is 29674056017119. The next prime is 29674056017131. The reversal of 29674056017125 is 52171065047692.

It is an interprime number because it is at equal distance from previous prime (29674056017119) and next prime (29674056017131).

It can be written as a sum of positive squares in 16 ways, for example, as 22452415606404 + 7221640410721 = 4738398^2 + 2687311^2 .

It is not a de Polignac number, because 29674056017125 - 23 = 29674056017117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4497030 + ... + 8920279.

It is an arithmetic number, because the mean of its divisors is an integer number (1247226177015).

Almost surely, 229674056017125 is an apocalyptic number.

29674056017125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29674056017125 is a deficient number, since it is larger than the sum of its proper divisors (10237181647355).

29674056017125 is a wasteful number, since it uses less digits than its factorization.

29674056017125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13418698 (or 13418688 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 29674056017125 in words is "twenty-nine trillion, six hundred seventy-four billion, fifty-six million, seventeen thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1361 1625 6805 17693 34025 88465 170125 442325 2211625 13417309 67086545 174425017 335432725 872125085 1677163625 4360625425 18260957549 21803127125 91304787745 237392448137 456523938725 1186962240685 2282619693625 5934811203425 29674056017125