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18912087168 = 2731331122209
BaseRepresentation
bin10001100111001111…
…111000110010000000
31210211000102120101220
4101213033320302000
5302212443242133
612404343355040
71236442042242
oct214717706200
953730376356
1018912087168
118025420007
1237b9752a80
131a25199830
14cb5a12092
1575a4c15b3
hex4673f8c80

18912087168 has 128 divisors (see below), whose sum is σ = 55845081600. Its totient is φ = 5631344640.

The previous prime is 18912087163. The next prime is 18912087193. The reversal of 18912087168 is 86178021981.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18912087168.

It is not an unprimeable number, because it can be changed into a prime (18912087163) 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, 93648 + ... + 215856.

It is an arithmetic number, because the mean of its divisors is an integer number (436289700).

Almost surely, 218912087168 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 18912087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27922540800).

18912087168 is an abundant number, since it is smaller than the sum of its proper divisors (36932994432).

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

18912087168 is a wasteful number, since it uses less digits than its factorization.

18912087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122270 (or 122258 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 51.

The spelling of 18912087168 in words is "eighteen billion, nine hundred twelve million, eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 25792 38688 51584 77376 122209 154752 244418 366627 488836 733254 977672 1466508 1588717 1955344 2933016 3177434 3788479 3910688 4766151 5866032 6354868 7576958 7821376 9532302 11365437 11732064 12709736 15153916 15642752 19064604 22730874 23464128 25419472 30307832 38129208 45461748 46928256 49250227 50838944 60615664 76258416 90923496 98500454 101677888 121231328 147750681 152516832 181846992 197000908 203355776 242462656 295501362 305033664 363693984 394001816 484925312 591002724 610067328 727387968 788003632 1182005448 1454775936 1576007264 2364010896 3152014528 4728021792 6304029056 9456043584 18912087168