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5634466002 = 2331119149663
BaseRepresentation
bin1010011111101011…
…10010000011010010
3112112200020112022000
411033311302003102
543014410403002
62331034054430
7256425112404
oct51765620322
915480215260
105634466002
112431566780
121112b7a416
136ba434169
143b645ab74
1522e9d161c
hex14fd720d2

5634466002 has 64 divisors (see below), whose sum is σ = 13731102720. Its totient is φ = 1698440400.

The previous prime is 5634466001. The next prime is 5634466031. The reversal of 5634466002 is 2006644365.

5634466002 is a `hidden beast` number, since 5 + 6 + 3 + 4 + 46 + 600 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5634466001) 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 31 ways as a sum of consecutive naturals, for example, 88623 + ... + 138285.

It is an arithmetic number, because the mean of its divisors is an integer number (214548480).

Almost surely, 25634466002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5634466002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865551360).

5634466002 is an abundant number, since it is smaller than the sum of its proper divisors (8096636718).

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

5634466002 is a wasteful number, since it uses less digits than its factorization.

5634466002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49876 (or 49870 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5634466002 is about 75063.0801526290. The cubic root of 5634466002 is about 1779.4437097233.

The spelling of 5634466002 in words is "five billion, six hundred thirty-four million, four hundred sixty-six thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 191 198 297 382 573 594 1146 1719 2101 3438 4202 5157 6303 10314 12606 18909 37818 49663 56727 99326 113454 148989 297978 446967 546293 893934 1092586 1340901 1638879 2681802 3277758 4916637 9485633 9833274 14749911 18971266 28456899 29499822 56913798 85370697 104341963 170741394 208683926 256112091 313025889 512224182 626051778 939077667 1878155334 2817233001 5634466002