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125244506560 = 2659711233593
BaseRepresentation
bin111010010100100100…
…1111000000111000000
3102222021111122011000011
41310221021320013000
54023000043202220
6133311520234304
712022450511665
oct1645111700700
9388244564004
10125244506560
1149130293568
122033416b994
13ba6c8b40a4
1460c1a93a6c
1533d060865a
hex1d292781c0

125244506560 has 112 divisors (see below), whose sum is σ = 301665351456. Its totient is φ = 49523392512.

The previous prime is 125244506557. The next prime is 125244506587. The reversal of 125244506560 is 65605442521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34856124 + ... + 34859716.

It is an arithmetic number, because the mean of its divisors is an integer number (2693440638).

Almost surely, 2125244506560 is an apocalyptic number.

125244506560 is a gapful number since it is divisible by the number (10) 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 125244506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150832675728).

125244506560 is an abundant number, since it is smaller than the sum of its proper divisors (176420844896).

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

125244506560 is a wasteful number, since it uses less digits than its factorization.

125244506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 125244506560 in words is "one hundred twenty-five billion, two hundred forty-four million, five hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1123 1552 1940 2246 3104 3593 3880 4492 5615 6208 7186 7760 8984 11230 14372 15520 17965 17968 22460 28744 31040 35930 35936 44920 57488 71860 71872 89840 108931 114976 143720 179680 217862 229952 287440 348521 359360 435724 544655 574880 697042 871448 1089310 1149760 1394084 1742605 1742896 2178620 2788168 3485210 3485792 4034939 4357240 5576336 6970420 6971584 8069878 8714480 11152672 13940840 16139756 17428960 20174695 22305344 27881680 32279512 34857920 40349390 55763360 64559024 80698780 111526720 129118048 161397560 258236096 322795120 391389083 645590240 782778166 1291180480 1565556332 1956945415 3131112664 3913890830 6262225328 7827781660 12524450656 15655563320 25048901312 31311126640 62622253280 125244506560