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64299542364 = 22332692718167
BaseRepresentation
bin111011111000100011…
…010010011101011100
320010222010221012002000
4323320203102131130
52023141140323424
645312214202300
74434255043431
oct737043223534
9203863835060
1064299542364
11252a6462962
1210565953390
1360a94492b5
14317d8dbb88
151a14e463c9
hexef88d275c

64299542364 has 96 divisors (see below), whose sum is σ = 167960217600. Its totient is φ = 21272103360.

The previous prime is 64299542327. The next prime is 64299542369. The reversal of 64299542364 is 46324599246.

64299542364 is a `hidden beast` number, since 6 + 4 + 2 + 99 + 542 + 3 + 6 + 4 = 666.

It is a super-2 number, since 2×642995423642 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64299542364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64299542369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7869009 + ... + 7877175.

It is an arithmetic number, because the mean of its divisors is an integer number (1749585600).

Almost surely, 264299542364 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 64299542364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83980108800).

64299542364 is an abundant number, since it is smaller than the sum of its proper divisors (103660675236).

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

64299542364 is a wasteful number, since it uses less digits than its factorization.

64299542364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720 (or 8712 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 64299542364 in words is "sixty-four billion, two hundred ninety-nine million, five hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 269 271 538 542 807 813 1076 1084 1614 1626 2421 2439 3228 3252 4842 4878 7263 7317 8167 9684 9756 14526 14634 16334 24501 29052 29268 32668 49002 72899 73503 98004 145798 147006 218697 220509 291596 294012 437394 441018 656091 874788 882036 1312182 1968273 2196923 2213257 2624364 3936546 4393846 4426514 6590769 6639771 7873092 8787692 8853028 13181538 13279542 19772307 19919313 26363076 26559084 39544614 39838626 59316921 59757939 79089228 79677252 118633842 119515878 237267684 239031756 595366133 1190732266 1786098399 2381464532 3572196798 5358295197 7144393596 10716590394 16074885591 21433180788 32149771182 64299542364