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6464874832 = 2413281110609
BaseRepresentation
bin1100000010101011…
…00010100101010000
3121200112210200001121
412001111202211100
5101220001443312
62545300412024
7316130346403
oct60125424520
917615720047
106464874832
112818287169
1213050a7014
137c04a3130
1445485dd3a
1527c863707
hex181562950

6464874832 has 40 divisors (see below), whose sum is σ = 13537336680. Its totient is φ = 2973143040.

The previous prime is 6464874809. The next prime is 6464874833. The reversal of 6464874832 is 2384784646.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1561514256 + 4903360576 = 39516^2 + 70024^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 6464874832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464874833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3144 + ... + 113752.

It is an arithmetic number, because the mean of its divisors is an integer number (338433417).

Almost surely, 26464874832 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 6464874832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768668340).

6464874832 is an abundant number, since it is smaller than the sum of its proper divisors (7072461848).

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

6464874832 is a wasteful number, since it uses less digits than its factorization.

6464874832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110911 (or 110905 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 52.

The square root of 6464874832 is about 80404.4453497442. The cubic root of 6464874832 is about 1862.8878360663.

The spelling of 6464874832 in words is "six billion, four hundred sixty-four million, eight hundred seventy-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 281 562 1124 2248 3653 4496 7306 14612 29224 58448 110609 221218 442436 884872 1437917 1769744 2875834 5751668 11503336 23006672 31081129 62162258 124324516 248649032 404054677 497298064 808109354 1616218708 3232437416 6464874832