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5160590848 = 2976721491
BaseRepresentation
bin1001100111001100…
…00101111000000000
3111022122120011210101
410303212011320000
541032102401343
62212025212144
7241612204240
oct46346057000
914278504711
105160590848
112209023316
121000331054
136431c826a
1436d545b20
152030c8e4d
hex133985e00

5160590848 has 80 divisors (see below), whose sum is σ = 11960555904. Its totient is φ = 2178570240.

The previous prime is 5160590843. The next prime is 5160590857. The reversal of 5160590848 is 8480950615.

It is a super-2 number, since 2×51605908482 = 53263395800922718208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5160590798 and 5160590807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160590843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229383 + ... + 250873.

Almost surely, 25160590848 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 5160590848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980277952).

5160590848 is an abundant number, since it is smaller than the sum of its proper divisors (6799965056).

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

5160590848 is an equidigital number, since it uses as much as digits as its factorization.

5160590848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21583 (or 21567 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 5160590848 is about 71837.2525087089. The cubic root of 5160590848 is about 1728.0904730865.

The spelling of 5160590848 in words is "five billion, one hundred sixty million, five hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1072 1792 1876 2144 3584 3752 4288 7504 8576 15008 17152 21491 30016 34304 42982 60032 85964 120064 150437 171928 240128 300874 343856 601748 687712 1203496 1375424 1439897 2406992 2750848 2879794 4813984 5501696 5759588 9627968 10079279 11003392 11519176 19255936 20158558 23038352 38511872 40317116 46076704 77023744 80634232 92153408 161268464 184306816 322536928 368613632 645073856 737227264 1290147712 2580295424 5160590848