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8191698064 = 24116172
BaseRepresentation
bin1111010000100001…
…10110010010010000
3210010220010101012121
413220100312102100
5113234033314224
63432504304024
7406666166434
oct75020662220
923126111177
108191698064
113524000000
121707472014
13a07181724
14579d289c4
1532e264be4
hex1e8436490

8191698064 has 105 divisors (see below), whose sum is σ = 18545939689. Its totient is φ = 3504469760.

The previous prime is 8191698049. The next prime is 8191698071. The reversal of 8191698064 is 4608961918.

The square root of 8191698064 is 90508.

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., 6377619600 + 1814078464 = 79860^2 + 42592^2 .

It is a Duffinian number.

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 20 ways as a sum of consecutive naturals, for example, 481864584 + ... + 481864600.

Almost surely, 28191698064 is an apocalyptic number.

8191698064 is the 90508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8191698064

8191698064 is an abundant number, since it is smaller than the sum of its proper divisors (10354241625).

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

8191698064 is an frugal number, since it uses more digits than its factorization.

8191698064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The cubic root of 8191698064 is about 2015.8489128920.

The spelling of 8191698064 in words is "eight billion, one hundred ninety-one million, six hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 289 374 484 578 748 968 1156 1331 1496 1936 2057 2312 2662 2992 3179 4114 4624 5324 6358 8228 10648 12716 14641 16456 21296 22627 25432 29282 32912 34969 45254 50864 58564 69938 90508 117128 139876 161051 181016 234256 248897 279752 322102 362032 384659 497794 559504 644204 769318 995588 1288408 1538636 1771561 1991176 2576816 2737867 3077272 3543122 3982352 4231249 5475734 6154544 7086244 8462498 10951468 14172488 16924996 21902936 28344976 30116537 33849992 43805872 46543739 60233074 67699984 93087478 120466148 186174956 240932296 372349912 481864592 511981129 744699824 1023962258 2047924516 4095849032 8191698064