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6180813864 = 23353798389
BaseRepresentation
bin1011100000110011…
…11011110000101000
3120221202021212200000
411300121323300220
5100124242020424
62501152143000
7306111023331
oct56031736050
916852255600
106180813864
1126919a9a35
121245b37a60
13776696214
14428c39288
152629523c9
hex17067bc28

6180813864 has 96 divisors (see below), whose sum is σ = 17407572000. Its totient is φ = 2054590272.

The previous prime is 6180813857. The next prime is 6180813911. The reversal of 6180813864 is 4683180816.

It is a happy number.

It is a super-2 number, since 2×61808138642 = 76404920042829220992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732582 + ... + 740970.

It is an arithmetic number, because the mean of its divisors is an integer number (181328875).

Almost surely, 26180813864 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 6180813864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703786000).

6180813864 is an abundant number, since it is smaller than the sum of its proper divisors (11226758136).

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

6180813864 is a wasteful number, since it uses less digits than its factorization.

6180813864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6180813864 is about 78618.1522550613. The cubic root of 6180813864 is about 1835.1936097369.

The spelling of 6180813864 in words is "six billion, one hundred eighty million, eight hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 379 486 648 758 972 1137 1516 1944 2274 3032 3411 4548 6822 8389 9096 10233 13644 16778 20466 25167 27288 30699 33556 40932 50334 61398 67112 75501 81864 92097 100668 122796 151002 184194 201336 226503 245592 302004 368388 453006 604008 679509 736776 906012 1359018 1812024 2038527 2718036 3179431 4077054 5436072 6358862 8154108 9538293 12717724 16308216 19076586 25435448 28614879 38153172 57229758 76306344 85844637 114459516 171689274 228919032 257533911 343378548 515067822 686757096 772601733 1030135644 1545203466 2060271288 3090406932 6180813864