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5152666816 = 2611172318719
BaseRepresentation
bin1001100110001111…
…10111010011000000
3111022002122121001201
410303013313103000
541023040314231
62211143310544
7241454642143
oct46307672300
914262577051
105152666816
112204600930
12bb974b454
1364168259b
1436c48205a
15202561161
hex1331f74c0

5152666816 has 112 divisors (see below), whose sum is σ = 12324648960. Its totient is φ = 2108395520.

The previous prime is 5152666751. The next prime is 5152666853. The reversal of 5152666816 is 6186662515.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265905 + ... + 284623.

Almost surely, 25152666816 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 5152666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162324480).

5152666816 is an abundant number, since it is smaller than the sum of its proper divisors (7171982144).

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

5152666816 is a wasteful number, since it uses less digits than its factorization.

5152666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18782 (or 18772 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 5152666816 is about 71782.0786547729. The cubic root of 5152666816 is about 1727.2055318522.

The spelling of 5152666816 in words is "five billion, one hundred fifty-two million, six hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 136 176 184 187 253 272 352 368 374 391 506 544 704 736 748 782 1012 1088 1472 1496 1564 2024 2992 3128 4048 4301 5984 6256 8096 8602 11968 12512 16192 17204 18719 25024 34408 37438 68816 74876 137632 149752 205909 275264 299504 318223 411818 430537 599008 636446 823636 861074 1198016 1272892 1647272 1722148 2545784 3294544 3444296 3500453 4735907 5091568 6589088 6888592 7000906 7319129 9471814 10183136 13178176 13777184 14001812 14638258 18943628 20366272 27554368 28003624 29276516 37887256 56007248 58553032 75774512 80510419 112014496 117106064 151549024 161020838 224028992 234212128 303098048 322041676 468424256 644083352 1288166704 2576333408 5152666816