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5155830176 = 2572171271523
BaseRepresentation
bin1001100110100111…
…11011100110100000
3111022022121022101012
410303103323212200
541024343031201
62211335200052
7241523555600
oct46323734640
914268538335
105155830176
112206371582
12bba816028
1364221c3b3
1436ca66c00
152029885bb
hex1334fb9a0

5155830176 has 144 divisors (see below), whose sum is σ = 12609063936. Its totient is φ = 2061932544.

The previous prime is 5155830151. The next prime is 5155830209. The reversal of 5155830176 is 6710385515.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3384551 + ... + 3386073.

It is an arithmetic number, because the mean of its divisors is an integer number (87562944).

Almost surely, 25155830176 is an apocalyptic number.

5155830176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5155830176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304531968).

5155830176 is an abundant number, since it is smaller than the sum of its proper divisors (7453233760).

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

5155830176 is a wasteful number, since it uses less digits than its factorization.

5155830176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 41.

The square root of 5155830176 is about 71804.1097431059. The cubic root of 5155830176 is about 1727.5589187713.

The spelling of 5155830176 in words is "five billion, one hundred fifty-five million, eight hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 127 136 196 224 238 254 272 392 476 508 544 784 833 889 952 1016 1523 1568 1666 1778 1904 2032 2159 3046 3332 3556 3808 4064 4318 6092 6223 6664 7112 8636 10661 12184 12446 13328 14224 15113 17272 21322 24368 24892 25891 26656 28448 30226 34544 42644 48736 49784 51782 60452 69088 74627 85288 99568 103564 105791 120904 149254 170576 181237 193421 199136 207128 211582 241808 298508 341152 362474 386842 414256 423164 483616 597016 724948 773684 828512 846328 1194032 1268659 1353947 1449896 1547368 1692656 2388064 2537318 2707894 2899792 3094736 3288157 3385312 5074636 5415788 5799584 6189472 6576314 9477629 10149272 10831576 13152628 18955258 20298544 21663152 23017099 26305256 37910516 40597088 43326304 46034198 52610512 75821032 92068396 105221024 151642064 161119693 184136792 303284128 322239386 368273584 644478772 736547168 1288957544 2577915088 5155830176