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66600131263325 = 521131131103357731
BaseRepresentation
bin11110010010010100011010…
…01010100111101101011101
322201210220120122202222210022
433021022031022213231131
532212134032100411300
6353351402233121525
720012462224136552
oct1711121512475535
9281726518688708
1066600131263325
111a247a58922140
1275776752592a5
132b21499b0729a
14126366bdb8a29
157a7650186285
hex3c928d2a7b5d

66600131263325 has 96 divisors (see below), whose sum is σ = 93800248971264. Its totient is φ = 46470340800000.

The previous prime is 66600131263313. The next prime is 66600131263343. The reversal of 66600131263325 is 52336213100666.

It is not a de Polignac number, because 66600131263325 - 218 = 66600131001181 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153599710 + ... + 1153657440.

It is an arithmetic number, because the mean of its divisors is an integer number (977085926784).

Almost surely, 266600131263325 is an apocalyptic number.

It is an amenable number.

66600131263325 is a deficient number, since it is larger than the sum of its proper divisors (27200117707939).

66600131263325 is a wasteful number, since it uses less digits than its factorization.

66600131263325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58947 (or 58942 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 44.

The spelling of 66600131263325 in words is "sixty-six trillion, six hundred billion, one hundred thirty-one million, two hundred sixty-three thousand, three hundred twenty-five".

Divisors: 1 5 11 25 31 55 131 155 275 341 655 775 1033 1441 1705 3275 4061 5165 7205 8525 11363 20305 25825 32023 36025 44671 56815 57731 101525 135323 160115 223355 284075 288655 352253 635041 676615 800575 1116775 1443275 1488553 1761265 1789661 3175205 3383075 4195013 7442765 7562761 8806325 8948305 15876025 19686271 20975065 37213825 37813805 44741525 46145143 59636123 83190371 98431355 104875325 189069025 230725715 234445591 298180615 415951855 492156775 655997353 1153628575 1172227955 1490903075 1848719813 2079759275 2578901501 3279986765 5861139775 7812332113 9243599065 12894507505 16399933825 20335917943 39061660565 46217995325 64472537525 85935653243 101679589715 195308302825 242182295503 429678266215 508397948575 1210911477515 2148391331075 2664005250533 6054557387575 13320026252665 66600131263325