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5160738816 = 2133269997
BaseRepresentation
bin1001100111001101…
…01010000000000000
3111022122211200202200
410303212222000000
541032122120231
62212032313200
7241613361522
oct46346520000
914278750680
105160738816
112209114502
1210003a2800
1364324a70c
1436d583a12
15203107be6
hex1339aa000

5160738816 has 84 divisors (see below), whose sum is σ = 14908104042. Its totient is φ = 1720221696.

The previous prime is 5160738809. The next prime is 5160738833. The reversal of 5160738816 is 6188370615.

5160738816 is a `hidden beast` number, since 5 + 1 + 607 + 38 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3611529216 + 1549209600 = 60096^2 + 39360^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 38730 + ... + 108726.

Almost surely, 25160738816 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 5160738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7454052021).

5160738816 is an abundant number, since it is smaller than the sum of its proper divisors (9747365226).

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

5160738816 is an equidigital number, since it uses as much as digits as its factorization.

5160738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70029 (or 70002 counting only the distinct ones).

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

The square root of 5160738816 is about 71838.2823848121. The cubic root of 5160738816 is about 1728.1069892604.

The spelling of 5160738816 in words is "five billion, one hundred sixty million, seven hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 69997 73728 139994 209991 279988 419982 559976 629973 839964 1119952 1259946 1679928 2239904 2519892 3359856 4479808 5039784 6719712 8959616 10079568 13439424 17919232 20159136 26878848 35838464 40318272 53757696 71676928 80636544 107515392 143353856 161273088 215030784 286707712 322546176 430061568 573415424 645092352 860123136 1290184704 1720246272 2580369408 5160738816