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83915566375936 = 21083234492
BaseRepresentation
bin10011000101001000011101…
…100001100110010000000000
3102000010020202002210012201111
4103011020131201212100000
541444333034443012221
6454250140133013104
723450461651142251
oct2305103541462000
9360106662705644
1083915566375936
11248134345aa309
1294b3495484194
1337a928611c449
1416a176c3aab28
159a7c83098be1
hex4c521d866400

83915566375936 has 99 divisors (see below), whose sum is σ = 169843853129281. Its totient is φ = 41440249094144.

The previous prime is 83915566375811. The next prime is 83915566375987. The reversal of 83915566375936 is 63957366551938.

The square root of 83915566375936 is 9160544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 437375886336 + 83478190489600 = 661344^2 + 9136640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24330403140 + ... + 24330406588.

Almost surely, 283915566375936 is an apocalyptic number.

83915566375936 is the 9160544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83915566375936

83915566375936 is an abundant number, since it is smaller than the sum of its proper divisors (85928286753345).

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

83915566375936 is an frugal number, since it uses more digits than its factorization.

83915566375936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 3534 counting only the distinct ones).

The product of its digits is 3306744000, while the sum is 76.

The spelling of 83915566375936 in words is "eighty-three trillion, nine hundred fifteen billion, five hundred sixty-six million, three hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 2656 3449 5312 6889 6898 10624 13778 13796 21248 27556 27592 42496 55112 55184 84992 110224 110368 220448 220736 286267 440896 441472 572534 881792 882944 1145068 1763584 1765888 2290136 3527168 3531776 4580272 7054336 9160544 11895601 18321088 23760161 23791202 36642176 47520322 47582404 73284352 95040644 95164808 146568704 190081288 190329616 293137408 380162576 380659232 760325152 761318464 987334883 1520650304 1522636928 1974669766 3041300608 3045273856 3949339532 6082601216 6090547712 7898679064 12165202432 12181095424 15797358128 24330404864 31594716256 63189432512 81948795289 126378865024 163897590578 252757730048 327795181156 505515460096 655590362312 1011030920192 1311180724624 2622361449248 5244722898496 10489445796992 20978891593984 41957783187968 83915566375936