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125126426232 = 23328322991433
BaseRepresentation
bin111010010001000011…
…1011011111001111000
3102221222021110001020200
41310202013123321320
54022224331114412
6133252101322200
712016515034323
oct1644207337170
9387867401220
10125126426232
114907a673015
1220300706360
13ba512acb82
1460b01177ba
1533c50819dc
hex1d221dbe78

125126426232 has 96 divisors (see below), whose sum is σ = 344468451600. Its totient is φ = 41025904128.

The previous prime is 125126426231. The next prime is 125126426303. The reversal of 125126426232 is 232624621521.

125126426232 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 2 + 642 + 6 + 2 + 3 + 2 = 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 (125126426231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322788 + ... + 1414220.

Almost surely, 2125126426232 is an apocalyptic number.

125126426232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125126426232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172234225800).

125126426232 is an abundant number, since it is smaller than the sum of its proper divisors (219342025368).

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

125126426232 is a wasteful number, since it uses less digits than its factorization.

125126426232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91757 (or 91750 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 125126426232 in words is "one hundred twenty-five billion, one hundred twenty-six million, four hundred twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 229 249 332 458 498 664 687 747 916 996 1374 1494 1832 1992 2061 2748 2988 4122 5496 5976 8244 16488 19007 38014 57021 76028 91433 114042 152056 171063 182866 228084 274299 342126 365732 456168 548598 684252 731464 822897 1097196 1368504 1645794 2194392 3291588 6583176 7588939 15177878 20938157 22766817 30355756 41876314 45533634 60711512 62814471 68300451 83752628 91067268 125628942 136600902 167505256 182134536 188443413 251257884 273201804 376886826 502515768 546403608 753773652 1507547304 1737867031 3475734062 5213601093 6951468124 10427202186 13902936248 15640803279 20854404372 31281606558 41708808744 62563213116 125126426232