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125137501272 = 23327248288693
BaseRepresentation
bin111010010001011000…
…1101011110001011000
3102222000001021201100100
41310202301223301120
54022240200020042
6133253134535400
712020011132140
oct1644261536130
9388001251310
10125137501272
1149085947943
1220304367560
13ba53689b54
1460b179b920
1533c601d24c
hex1d22c6bc58

125137501272 has 48 divisors (see below), whose sum is σ = 387330362640. Its totient is φ = 35753571648.

The previous prime is 125137501271. The next prime is 125137501283. The reversal of 125137501272 is 272105731521.

125137501272 is a `hidden beast` number, since 1 + 2 + 51 + 37 + 501 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125137501271) 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, 124143843 + ... + 124144850.

It is an arithmetic number, because the mean of its divisors is an integer number (8069382555).

Almost surely, 2125137501272 is an apocalyptic number.

125137501272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125137501272 is an abundant number, since it is smaller than the sum of its proper divisors (262192861368).

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

125137501272 is a wasteful number, since it uses less digits than its factorization.

125137501272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248288712 (or 248288705 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 125137501272 in words is "one hundred twenty-five billion, one hundred thirty-seven million, five hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 248288693 496577386 744866079 993154772 1489732158 1738020851 1986309544 2234598237 2979464316 3476041702 4469196474 5214062553 5958928632 6952083404 8938392948 10428125106 13904166808 15642187659 17876785896 20856250212 31284375318 41712500424 62568750636 125137501272