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83988676864 = 285923072
BaseRepresentation
bin100111000111000011…
…1011000000100000000
322000210022111212000201
41032032013120010000
52334002100124424
6102330040454544
76032213655061
oct1161607300400
9260708455021
1083988676864
113268a467044
121433b77a454
137bc65c0641
1440ca7c2568
1522b8758d44
hex138e1d8100

83988676864 has 81 divisors (see below), whose sum is σ = 171096258207. Its totient is φ = 41148099072.

The previous prime is 83988676861. The next prime is 83988676873. The reversal of 83988676864 is 46867688938.

The square root of 83988676864 is 289808.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83988676861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 273578599 + ... + 273578905.

Almost surely, 283988676864 is an apocalyptic number.

83988676864 is the 289808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83988676864

83988676864 is an abundant number, since it is smaller than the sum of its proper divisors (87107581343).

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

83988676864 is an frugal number, since it uses more digits than its factorization.

83988676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 368 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 73.

The spelling of 83988676864 in words is "eighty-three billion, nine hundred eighty-eight million, six hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 307 472 614 944 1228 1888 2456 3481 3776 4912 6962 7552 9824 13924 15104 18113 19648 27848 36226 39296 55696 72452 78592 94249 111392 144904 188498 222784 289808 376996 445568 579616 753992 891136 1068667 1159232 1507984 2137334 2318464 3015968 4274668 4636928 5560691 6031936 8549336 11121382 12063872 17098672 22242764 24127744 34197344 44485528 68394688 88971056 136789376 177942112 273578752 328080769 355884224 656161538 711768448 1312323076 1423536896 2624646152 5249292304 10498584608 20997169216 41994338432 83988676864