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8134596864 = 283218792
BaseRepresentation
bin1111001001101110…
…00001100100000000
3202222220200100002100
413210313001210000
5113124424044424
63423104350400
7405403634562
oct74467014400
922886610070
108134596864
1134a484a029
1216b0315400
139c83ab034
14572503332
15329235dc9
hex1e4dc1900

8134596864 has 81 divisors (see below), whose sum is σ = 23466537003. Its totient is φ = 2710089216.

The previous prime is 8134596859. The next prime is 8134596871. The reversal of 8134596864 is 4686954318.

The square root of 8134596864 is 90192.

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

It is a super-2 number, since 2×81345968642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8134596864.

It is an unprimeable number.

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, 4328277 + ... + 4330155.

Almost surely, 28134596864 is an apocalyptic number.

8134596864 is the 90192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8134596864

8134596864 is an abundant number, since it is smaller than the sum of its proper divisors (15331940139).

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

8134596864 is an frugal number, since it uses more digits than its factorization.

8134596864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 1884 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The cubic root of 8134596864 is about 2011.1540829073.

The spelling of 8134596864 in words is "eight billion, one hundred thirty-four million, five hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1879 2304 3758 5637 7516 11274 15032 16911 22548 30064 33822 45096 60128 67644 90192 120256 135288 180384 240512 270576 360768 481024 541152 721536 1082304 1443072 2164608 3530641 4329216 7061282 10591923 14122564 21183846 28245128 31775769 42367692 56490256 63551538 84735384 112980512 127103076 169470768 225961024 254206152 338941536 451922048 508412304 677883072 903844096 1016824608 1355766144 2033649216 2711532288 4067298432 8134596864