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3996360564 = 2237151509619
BaseRepresentation
bin1110111000110011…
…1001111101110100
3101022111212011002020
43232030321331310
531141032014224
61500315513140
7201014334660
oct35614717564
911274764066
103996360564
111770928929
129364587b0
134b8c48cc1
1429ca878a0
15185ca6c79
hexee339f74

3996360564 has 96 divisors (see below), whose sum is σ = 10765977600. Its totient is φ = 1130198400.

The previous prime is 3996360559. The next prime is 3996360587. The reversal of 3996360564 is 4650636993.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6455847 + ... + 6456465.

It is an arithmetic number, because the mean of its divisors is an integer number (112145600).

Almost surely, 23996360564 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 3996360564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382988800).

3996360564 is an abundant number, since it is smaller than the sum of its proper divisors (6769617036).

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

3996360564 is a wasteful number, since it uses less digits than its factorization.

3996360564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 51.

The square root of 3996360564 is about 63216.7743878158. The cubic root of 3996360564 is about 1586.9194688365.

The spelling of 3996360564 in words is "three billion, nine hundred ninety-six million, three hundred sixty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 509 604 619 906 1018 1057 1238 1527 1812 1857 2036 2114 2476 3054 3171 3563 3714 4228 4333 6108 6342 7126 7428 8666 10689 12684 12999 14252 17332 21378 25998 42756 51996 76859 93469 153718 186938 230577 280407 307436 315071 373876 461154 538013 560814 630142 654283 922308 945213 1076026 1121628 1260284 1308566 1614039 1890426 1962849 2152052 2205497 2617132 3228078 3780852 3925698 4410994 6456156 6616491 7851396 8821988 13232982 26465964 47575721 95151442 142727163 190302884 285454326 333030047 570908652 666060094 999090141 1332120188 1998180282 3996360564