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5330916528 = 243733147933
BaseRepresentation
bin1001111011011111…
…10101010010110000
3111202112001121200220
410331233311102300
541404203312103
62240552013040
7246051020460
oct47557652260
914675047626
105330916528
112296188543
121049391180
1366c5928a2
14388001ba0
15213020c53
hex13dbf54b0

5330916528 has 80 divisors (see below), whose sum is σ = 15786775296. Its totient is φ = 1518485760.

The previous prime is 5330916523. The next prime is 5330916553. The reversal of 5330916528 is 8256190335.

It is a super-3 number, since 3×53309165283 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5330916528.

It is not an unprimeable number, because it can be changed into a prime (5330916523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87250 + ... + 135182.

Almost surely, 25330916528 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 5330916528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893387648).

5330916528 is an abundant number, since it is smaller than the sum of its proper divisors (10455858768).

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

5330916528 is a wasteful number, since it uses less digits than its factorization.

5330916528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48282 (or 48276 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5330916528 is about 73013.1257240779. The cubic root of 5330916528 is about 1746.8969803582.

The spelling of 5330916528 in words is "five billion, three hundred thirty million, nine hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 662 993 1324 1986 2317 2648 3972 4634 5296 6951 7944 9268 13902 15888 18536 27804 37072 47933 55608 95866 111216 143799 191732 287598 335531 383464 575196 671062 766928 1006593 1150392 1342124 2013186 2300784 2684248 4026372 5368496 8052744 15865823 16105488 31731646 47597469 63463292 95194938 111060761 126926584 190389876 222121522 253853168 333182283 380779752 444243044 666364566 761559504 888486088 1332729132 1776972176 2665458264 5330916528