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8015799961 = 132712972
BaseRepresentation
bin1110111011100011…
…10110011010011001
3202200122010211101001
413131301312122121
5112404021044321
63403222225001
7402432114121
oct73561663231
922618124331
108015799961
11344378a174
121678585161
139a98b5900
1456081bc81
1531dabbc91
hex1ddc76699

8015799961 has 27 divisors (see below), whose sum is σ = 8895500253. Its totient is φ = 7219779840.

The previous prime is 8015799937. The next prime is 8015800027. The reversal of 8015799961 is 1699975108.

The square root of 8015799961 is 89531.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1464516361 + 6551283600 = 38269^2 + 80940^2 .

It is not a de Polignac number, because 8015799961 - 25 = 8015799929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8015799901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82637065 + ... + 82637161.

Almost surely, 28015799961 is an apocalyptic number.

8015799961 is the 89531-st square number.

8015799961 is the 44766-th centered octagonal number.

It is an amenable number.

8015799961 is a deficient number, since it is larger than the sum of its proper divisors (879700292).

8015799961 is an frugal number, since it uses more digits than its factorization.

8015799961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 55.

The cubic root of 8015799961 is about 2001.3157975652.

The spelling of 8015799961 in words is "eight billion, fifteen million, seven hundred ninety-nine thousand, nine hundred sixty-one".

Divisors: 1 13 71 97 169 923 1261 5041 6887 9409 11999 16393 65533 89531 122317 488977 668039 851929 1163903 1590121 6356701 8684507 47430769 82637113 112898591 616599997 8015799961