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5159952288 = 25338967103
BaseRepresentation
bin1001100111000111…
…01001111110100000
3111022121100201212000
410303203221332200
541031421433123
62212003404000
7241603604451
oct46343517640
914277321760
105159952288
112208727587
121000083600
1364303370a
1436d41b128
15202eeeb43
hex1338e9fa0

5159952288 has 96 divisors (see below), whose sum is σ = 15219187200. Its totient is φ = 1700633088.

The previous prime is 5159952277. The next prime is 5159952289. The reversal of 5159952288 is 8822599515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51599522882 = 53250215228872869888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5159952289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43345 + ... + 110447.

It is an arithmetic number, because the mean of its divisors is an integer number (158533200).

Almost surely, 25159952288 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 5159952288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7609593600).

5159952288 is an abundant number, since it is smaller than the sum of its proper divisors (10059234912).

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

5159952288 is a wasteful number, since it uses less digits than its factorization.

5159952288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67211 (or 67197 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The square root of 5159952288 is about 71832.8078805221. The cubic root of 5159952288 is about 1728.0191934597.

The spelling of 5159952288 in words is "five billion, one hundred fifty-nine million, nine hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 89 96 108 144 178 216 267 288 356 432 534 712 801 864 1068 1424 1602 2136 2403 2848 3204 4272 4806 6408 8544 9612 12816 19224 25632 38448 67103 76896 134206 201309 268412 402618 536824 603927 805236 1073648 1207854 1610472 1811781 2147296 2415708 3220944 3623562 4831416 5972167 6441888 7247124 9662832 11944334 14494248 17916501 19325664 23888668 28988496 35833002 47777336 53749503 57976992 71666004 95554672 107499006 143332008 161248509 191109344 214998012 286664016 322497018 429996024 573328032 644994036 859992048 1289988072 1719984096 2579976144 5159952288