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125240105502 = 2346716197127
BaseRepresentation
bin111010010100011100…
…1000101101000011110
3102222021012100112220000
41310220321011220132
54022442431334002
6133311242035130
712022365221631
oct1645071055036
9388235315800
10125240105502
1149128857a26
12203327a8aa6
13ba6ba02b05
1460c1269c18
1533d003961c
hex1d28e45a1e

125240105502 has 80 divisors (see below), whose sum is σ = 285035034240. Its totient is φ = 41092449552.

The previous prime is 125240105477. The next prime is 125240105503. The reversal of 125240105502 is 205501042521.

125240105502 is a `hidden beast` number, since 1 + 2 + 52 + 4 + 0 + 105 + 502 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125240105503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17569063 + ... + 17576189.

It is an arithmetic number, because the mean of its divisors is an integer number (3562937928).

Almost surely, 2125240105502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125240105502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142517517120).

125240105502 is an abundant number, since it is smaller than the sum of its proper divisors (159794928738).

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

125240105502 is a wasteful number, since it uses less digits than its factorization.

125240105502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8827 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 125240105502 in words is "one hundred twenty-five billion, two hundred forty million, one hundred five thousand, five hundred two".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 402 603 1206 1619 1809 3238 3618 4857 5427 7127 9714 10854 14254 14571 21381 29142 42762 43713 64143 87426 108473 128286 131139 192429 216946 262278 325419 384858 477509 577287 650838 955018 976257 1154574 1432527 1952514 2865054 2928771 4297581 5857542 8595162 8786313 11538613 12892743 17572626 23077226 25785486 34615839 38678229 69231678 77356458 103847517 207695034 311542551 623085102 773087071 934627653 1546174142 1869255306 2319261213 4638522426 6957783639 13915567278 20873350917 41746701834 62620052751 125240105502