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125675492832 = 25324715161487
BaseRepresentation
bin111010100001011010…
…1111101010111100000
3110000101112121112000200
41311002311331113200
54024340411232312
6133422353545200
712036233030511
oct1650265752740
9400345545020
10125675492832
11493315a296a
1220434575200
13bb0ac84556
146123002a08
15340838d0dc
hex1d42d7d5e0

125675492832 has 144 divisors (see below), whose sum is σ = 367416870912. Its totient is φ = 40728326400.

The previous prime is 125675492827. The next prime is 125675492851. The reversal of 125675492832 is 238294576521.

125675492832 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 75 + 492 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent 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, 2013193 + ... + 2074679.

It is an arithmetic number, because the mean of its divisors is an integer number (2551506048).

Almost surely, 2125675492832 is an apocalyptic number.

125675492832 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 125675492832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183708435456).

125675492832 is an abundant number, since it is smaller than the sum of its proper divisors (241741378080).

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

125675492832 is a wasteful number, since it uses less digits than its factorization.

125675492832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61701 (or 61690 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 125675492832 in words is "one hundred twenty-five billion, six hundred seventy-five million, four hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 151 188 282 288 302 376 423 453 564 604 752 846 906 1128 1208 1359 1504 1692 1812 2256 2416 2718 3384 3624 4512 4832 5436 6768 7097 7248 10872 13536 14194 14496 21291 21744 28388 42582 43488 56776 61487 63873 85164 113552 122974 127746 170328 184461 227104 245948 255492 340656 368922 491896 510984 553383 681312 737844 983792 1021968 1106766 1475688 1967584 2043936 2213532 2889889 2951376 4427064 5779778 5902752 8669667 8854128 9284537 11559556 17339334 17708256 18569074 23119112 26009001 27853611 34678668 37138148 46238224 52018002 55707222 69357336 74276296 83560833 92476448 104036004 111414444 138714672 148552592 167121666 208072008 222828888 277429344 297105184 334243332 416144016 436373239 445657776 668486664 832288032 872746478 891315552 1309119717 1336973328 1745492956 2618239434 2673946656 3490985912 3927359151 5236478868 6981971824 7854718302 10472957736 13963943648 15709436604 20945915472 31418873208 41891830944 62837746416 125675492832