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4633993364 = 22711131157341
BaseRepresentation
bin1000101000011010…
…10010000010010100
3102221221200020211212
410110031102002110
533442300241424
62043454320552
7222556202510
oct42415220224
912857606755
104633993364
111a6884a890
12a93ab9158
1358b08cb10
1431d629140
151c1c5a10e
hex114352094

4633993364 has 48 divisors (see below), whose sum is σ = 10888273536. Its totient is φ = 1666569600.

The previous prime is 4633993339. The next prime is 4633993393.

It is a happy number.

4633993364 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574667 + ... + 582674.

It is an arithmetic number, because the mean of its divisors is an integer number (226839032).

Almost surely, 24633993364 is an apocalyptic number.

4633993364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4633993364 is an abundant number, since it is smaller than the sum of its proper divisors (6254280172).

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

4633993364 is a wasteful number, since it uses less digits than its factorization.

4633993364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157376 (or 1157374 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 50.

The square root of 4633993364 is about 68073.4409590113. The cubic root of 4633993364 is about 1667.1901503528.

The spelling of 4633993364 in words is "four billion, six hundred thirty-three million, nine hundred ninety-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 1157341 2314682 4629364 8101387 12730751 15045433 16202774 25461502 30090866 32405548 50923004 60181732 89115257 105318031 165499763 178230514 210636062 330999526 356461028 421272124 661999052 1158498341 2316996682 4633993364