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5161817664 = 2635331907
BaseRepresentation
bin1001100111010101…
…10001011001000000
3111022201212111200000
410303222301121000
541032411131124
62212111400000
7241625504043
oct46352613100
914281774600
105161817664
112209791013
121000823000
136435377a3
1436d784c5a
1520326c6c9
hex133ab1640

5161817664 has 84 divisors (see below), whose sum is σ = 15343443024. Its totient is φ = 1720600704.

The previous prime is 5161817641. The next prime is 5161817669. The reversal of 5161817664 is 4667181615.

5161817664 is a `hidden beast` number, since 516 + 1 + 8 + 1 + 76 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (5161817669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150402 + ... + 181505.

It is an arithmetic number, because the mean of its divisors is an integer number (182660036).

Almost surely, 25161817664 is an apocalyptic number.

5161817664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5161817664 is an abundant number, since it is smaller than the sum of its proper divisors (10181625360).

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

5161817664 is an equidigital number, since it uses as much as digits as its factorization.

5161817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331934 (or 331912 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5161817664 is about 71845.7908579201. The cubic root of 5161817664 is about 1728.2274006289.

The spelling of 5161817664 in words is "five billion, one hundred sixty-one million, eight hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 331907 663814 995721 1327628 1991442 2655256 2987163 3982884 5310512 5974326 7965768 8961489 10621024 11948652 15931536 17922978 21242048 23897304 26884467 31863072 35845956 47794608 53768934 63726144 71691912 80653401 95589216 107537868 143383824 161306802 191178432 215075736 286767648 322613604 430151472 573535296 645227208 860302944 1290454416 1720605888 2580908832 5161817664