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238634732112 = 243717912133271
BaseRepresentation
bin1101111000111110111…
…1010000101001010000
3211210221212100102112120
43132033233100221100
512402210442411422
6301343254254240
723145406516650
oct3361757205120
9753855312476
10238634732112
11922280a3277
123a2ba357380
1319670593aca
14b79b21c360
15631a17745c
hex378fbd0a50

238634732112 has 160 divisors (see below), whose sum is σ = 709277460480. Its totient is φ = 67723845120.

The previous prime is 238634732093. The next prime is 238634732137. The reversal of 238634732112 is 211237436832.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72953037 + ... + 72956307.

It is an arithmetic number, because the mean of its divisors is an integer number (4432984128).

Almost surely, 2238634732112 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 238634732112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354638730240).

238634732112 is an abundant number, since it is smaller than the sum of its proper divisors (470642728368).

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

238634732112 is a wasteful number, since it uses less digits than its factorization.

238634732112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4675 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 238634732112 in words is "two hundred thirty-eight billion, six hundred thirty-four million, seven hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 716 1074 1213 1253 1432 2148 2426 2506 2864 3271 3639 3759 4296 4852 5012 6542 7278 7518 8491 8592 9704 9813 10024 13084 14556 15036 16982 19408 19626 20048 22897 25473 26168 29112 30072 33964 39252 45794 50946 52336 58224 60144 67928 68691 78504 91588 101892 135856 137382 157008 183176 203784 217127 274764 366352 407568 434254 549528 585509 651381 868508 1099056 1171018 1302762 1519889 1737016 1756527 2342036 2605524 3039778 3474032 3513054 3967723 4098563 4559667 4684072 5211048 6079556 7026108 7935446 8197126 9119334 9368144 10422096 11903169 12159112 12295689 14052216 15870892 16394252 18238668 23806338 24318224 24591378 27774061 28104432 31741784 32788504 36477336 47612676 49182756 55548122 63483568 65577008 72954672 83322183 95225352 98365512 111096244 166644366 190450704 196731024 222192488 333288732 444384976 666577464 710222417 1333154928 1420444834 2130667251 2840889668 4261334502 4971556919 5681779336 8522669004 9943113838 11363558672 14914670757 17045338008 19886227676 29829341514 34090676016 39772455352 59658683028 79544910704 119317366056 238634732112