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56034172860129 = 3223219717596917
BaseRepresentation
bin11001011110110011110001…
…11101111111011011100001
321100101210222211221222101100
430233121320331333123201
524321030441223011004
6315101424343225013
714542223016435162
oct1457317075773341
9240353884858340
1056034172860129
1116943a60854102
12634b96b148169
132535ccc810669
14dba0d5b11769
1567289dc3e739
hex32f678f7f6e1

56034172860129 has 36 divisors (see below), whose sum is σ = 84614739372436. Its totient is φ = 35730064218816.

The previous prime is 56034172860119. The next prime is 56034172860157. The reversal of 56034172860129 is 92106827143065.

It is a happy number.

56034172860129 is a `hidden beast` number, since 5 + 6 + 0 + 3 + 4 + 1 + 7 + 2 + 8 + 601 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20438355974400 + 35595816885729 = 4520880^2 + 5966223^2 .

It is not a de Polignac number, because 56034172860129 - 212 = 56034172856033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56034172860119) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93574179 + ... + 94171095.

It is a 1-persistent number, because it is pandigital, but 2⋅56034172860129 = 112068345720258 is not.

Almost surely, 256034172860129 is an apocalyptic number.

It is an amenable number.

56034172860129 is a deficient number, since it is larger than the sum of its proper divisors (28580566512307).

56034172860129 is a wasteful number, since it uses less digits than its factorization.

56034172860129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616686 (or 616660 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56034172860129 in words is "fifty-six trillion, thirty-four billion, one hundred seventy-two million, eight hundred sixty thousand, one hundred twenty-nine".

Divisors: 1 3 9 23 69 207 529 1587 4761 19717 59151 177453 453491 596917 1360473 1790751 4081419 5372253 10430293 13729091 31290879 41187273 93872637 123561819 315769093 947307279 2841921837 11769412489 35308237467 105924712401 270696487247 812089461741 2436268385223 6226019206681 18678057620043 56034172860129