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5164536072 = 233193728273
BaseRepresentation
bin1001100111101010…
…01001000100001000
3111022220222121121210
410303311021010020
541034110123242
62212245533120
7241660555323
oct46365110410
914286877553
105164536072
112210278433
1210017141a0
13643c79c07
1436dc917ba
15203607d9c
hex133d49108

5164536072 has 96 divisors (see below), whose sum is σ = 13969821600. Its totient is φ = 1586635776.

The previous prime is 5164536071. The next prime is 5164536077. The reversal of 5164536072 is 2706354615.

It is a self number, because there is not a number n which added to its sum of digits gives 5164536072.

It is not an unprimeable number, because it can be changed into a prime (5164536071) 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 23 ways as a sum of consecutive naturals, for example, 620128 + ... + 628400.

It is an arithmetic number, because the mean of its divisors is an integer number (145518975).

Almost surely, 25164536072 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 5164536072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984910800).

5164536072 is an abundant number, since it is smaller than the sum of its proper divisors (8805285528).

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

5164536072 is a wasteful number, since it uses less digits than its factorization.

5164536072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 5164536072 is about 71864.7067203367. The cubic root of 5164536072 is about 1728.5307306455.

The spelling of 5164536072 in words is "five billion, one hundred sixty-four million, five hundred thirty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1369 1406 2109 2738 2812 4107 4218 5476 5624 8214 8273 8436 10952 16428 16546 16872 24819 26011 32856 33092 49638 52022 66184 78033 99276 104044 156066 157187 198552 208088 306101 312132 314374 471561 612202 624264 628748 918303 943122 1224404 1257496 1836606 1886244 2448808 3673212 3772488 5815919 7346424 11325737 11631838 17447757 22651474 23263676 33977211 34895514 45302948 46527352 67954422 69791028 90605896 135908844 139582056 215189003 271817688 430378006 645567009 860756012 1291134018 1721512024 2582268036 5164536072