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6464112408 = 2332136906103
BaseRepresentation
bin1100000010100101…
…01000011100011000
3121200111100221012200
412001102220130120
5101214303044113
62545232210200
7316121022525
oct60122503430
917614327180
106464112408
112817906366
121304999960
137c02970b0
1445470214c
1527c762873
hex1814a8718

6464112408 has 48 divisors (see below), whose sum is σ = 18853663920. Its totient is φ = 1988957376.

The previous prime is 6464112407. The next prime is 6464112409. The reversal of 6464112408 is 8042114646.

It is a happy number.

6464112408 is a `hidden beast` number, since 6 + 4 + 641 + 1 + 2 + 4 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6464112407) and next prime (6464112409).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464112401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3452116 + ... + 3453987.

It is an arithmetic number, because the mean of its divisors is an integer number (392784665).

Almost surely, 26464112408 is an apocalyptic number.

It is an amenable number.

6464112408 is an abundant number, since it is smaller than the sum of its proper divisors (12389551512).

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

6464112408 is a wasteful number, since it uses less digits than its factorization.

6464112408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906128 (or 6906121 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6464112408 is about 80399.7040293060. The cubic root of 6464112408 is about 1862.8146010194.

The spelling of 6464112408 in words is "six billion, four hundred sixty-four million, one hundred twelve thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 6906103 13812206 20718309 27624412 41436618 55248824 62154927 82873236 89779339 124309854 165746472 179558678 248619708 269338017 359117356 497239416 538676034 718234712 808014051 1077352068 1616028102 2154704136 3232056204 6464112408