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8058660864 = 21134131991
BaseRepresentation
bin1111000000101010…
…10110100000000000
3202210121210101110220
413200111112200000
5113001004121424
63411353023040
7403462326042
oct74025264000
922717711426
108058660864
1134659a4201
12168a9b4a80
139b57416a7
145663b7a92
15322736579
hex1e0556800

8058660864 has 96 divisors (see below), whose sum is σ = 22009216320. Its totient is φ = 2620620800.

The previous prime is 8058660847. The next prime is 8058660871. The reversal of 8058660864 is 4680668508.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235909 + ... + 267899.

It is an arithmetic number, because the mean of its divisors is an integer number (229262670).

Almost surely, 28058660864 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 8058660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004608160).

8058660864 is an abundant number, since it is smaller than the sum of its proper divisors (13950555456).

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

8058660864 is a wasteful number, since it uses less digits than its factorization.

8058660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32057 (or 32037 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The square root of 8058660864 is about 89770.0443577923. The cubic root of 8058660864 is about 2004.8765055166.

The spelling of 8058660864 in words is "eight billion, fifty-eight million, six hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 5248 6144 7872 10496 15744 20992 31488 31991 41984 62976 63982 83968 95973 125952 127964 191946 251904 255928 383892 511856 767784 1023712 1311631 1535568 2047424 2623262 3071136 3934893 4094848 5246524 6142272 7869786 8189696 10493048 12284544 15739572 16379392 20986096 24569088 31479144 32758784 41972192 49138176 62958288 65517568 83944384 98276352 125916576 167888768 196552704 251833152 335777536 503666304 671555072 1007332608 1343110144 2014665216 2686220288 4029330432 8058660864