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107255230592 = 2737199317359
BaseRepresentation
bin110001111100011101…
…0001111000010000000
3101020211210122020120212
41203320322033002000
53224124314334332
6121134455453252
710514612263166
oct1437072170200
9336753566525
10107255230592
1141539866244
1218953687228
13a163969ab3
145296859236
152bcb16c8b2
hex18f8e8f080

107255230592 has 128 divisors (see below), whose sum is σ = 221862240000. Its totient is φ = 51608088576.

The previous prime is 107255230591. The next prime is 107255230597. The reversal of 107255230592 is 295032552701.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (107255230591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298760909 + ... + 298761267.

It is an arithmetic number, because the mean of its divisors is an integer number (1733298750).

Almost surely, 2107255230592 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 107255230592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110931120000).

107255230592 is an abundant number, since it is smaller than the sum of its proper divisors (114607009408).

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

107255230592 is a wasteful number, since it uses less digits than its factorization.

107255230592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The spelling of 107255230592 in words is "one hundred seven billion, two hundred fifty-five million, two hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 199 296 317 359 398 592 634 718 796 1184 1268 1436 1592 2368 2536 2872 3184 4736 5072 5744 6368 7363 10144 11488 11729 12736 13283 14726 20288 22976 23458 25472 26566 29452 40576 45952 46916 53132 58904 63083 71441 93832 106264 113803 117808 126166 142882 187664 212528 227606 235616 252332 285764 375328 425056 455212 471232 504664 571528 750656 850112 910424 942464 1009328 1143056 1501312 1700224 1820848 2018656 2286112 2334071 2643317 3641696 4037312 4210711 4572224 4668142 5286634 7283392 8074624 8421422 9144448 9336284 10573268 14566784 16842844 18672568 21146536 22646797 33685688 37345136 42293072 45293594 67371376 74690272 84586144 90587188 134742752 149380544 169172288 181174376 269485504 298761088 338344576 362348752 538971008 724697504 837931489 1449395008 1675862978 2898790016 3351725956 6703451912 13406903824 26813807648 53627615296 107255230592