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125652469152 = 2537311601231
BaseRepresentation
bin111010100000101111…
…0001000010110100000
3110000022221021210110210
41311001132020112200
54024314013003102
6133420212254120
712035533236210
oct1650136102640
9400287253423
10125652469152
114931a5a7931
1220428911340
13bb06282a82
14611dd2c240
15340634136c
hex1d417885a0

125652469152 has 96 divisors (see below), whose sum is σ = 378170118144. Its totient is φ = 35785209600.

The previous prime is 125652469147. The next prime is 125652469171. The reversal of 125652469152 is 251964256521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 91624 + ... + 509607.

It is an arithmetic number, because the mean of its divisors is an integer number (3939272064).

Almost surely, 2125652469152 is an apocalyptic number.

125652469152 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 125652469152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189085059072).

125652469152 is an abundant number, since it is smaller than the sum of its proper divisors (252517648992).

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

125652469152 is a wasteful number, since it uses less digits than its factorization.

125652469152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601562 (or 601554 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The spelling of 125652469152 in words is "one hundred twenty-five billion, six hundred fifty-two million, four hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 311 336 622 672 933 1244 1866 2177 2488 3732 4354 4976 6531 7464 8708 9952 13062 14928 17416 26124 29856 34832 52248 69664 104496 208992 601231 1202462 1803693 2404924 3607386 4208617 4809848 7214772 8417234 9619696 12625851 14429544 16834468 19239392 25251702 28859088 33668936 50503404 57718176 67337872 101006808 134675744 186982841 202013616 373965682 404027232 560948523 747931364 1121897046 1308879887 1495862728 2243794092 2617759774 2991725456 3926639661 4487588184 5235519548 5983450912 7853279322 8975176368 10471039096 15706558644 17950352736 20942078192 31413117288 41884156384 62826234576 125652469152