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125430917392 = 24112296833271
BaseRepresentation
bin111010011010001000…
…0111110100100010000
3102222202111101210121001
41310310100332210100
54023340303324032
6133342215511344
712030203130544
oct1646420764420
9388674353531
10125430917392
1149216534800
1220386688554
13ba9c3c0c61
1460dc739a24
1533e1b7b3e7
hex1d3443e910

125430917392 has 120 divisors (see below), whose sum is σ = 276824157120. Its totient is φ = 54950649600.

The previous prime is 125430917387. The next prime is 125430917401. The reversal of 125430917392 is 293719034521.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38344717 + ... + 38347987.

It is an arithmetic number, because the mean of its divisors is an integer number (2306867976).

Almost surely, 2125430917392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125430917392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138412078560).

125430917392 is an abundant number, since it is smaller than the sum of its proper divisors (151393239728).

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

125430917392 is a wasteful number, since it uses less digits than its factorization.

125430917392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 125430917392 in words is "one hundred twenty-five billion, four hundred thirty million, nine hundred seventeen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 683 968 1276 1366 1936 2552 2732 3271 3509 5104 5464 6542 7018 7513 10928 13084 14036 15026 19807 26168 28072 30052 35981 39614 52336 56144 60104 71962 79228 82643 94859 120208 143924 158456 165286 189718 217877 287848 316912 330572 379436 395791 435754 575696 661144 758872 791582 871508 1043449 1322288 1517744 1583164 1743016 2086898 2234093 2396647 3166328 3486032 4173796 4468186 4793294 6332656 8347592 8936372 9586588 11477939 16695184 17872744 19173176 22955878 24575023 35745488 38346352 45911756 49150046 64788697 91823512 98300092 129577394 183647024 196600184 259154788 270325253 393200368 518309576 540650506 712675667 1036619152 1081301012 1425351334 2162602024 2850702668 4325204048 5701405336 7839432337 11402810672 15678864674 31357729348 62715458696 125430917392