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6484642164 = 223372112131941
BaseRepresentation
bin1100000101000001…
…11100100101110100
3121201220222221202000
412002200330211310
5101240032022124
62551244215300
7316460356200
oct60240744564
917656887660
106484642164
112828458700
12130b83a530
137c4604690
14457327b00
1527e46a6c9
hex18283c974

6484642164 has 864 divisors, whose sum is σ = 24962716800. Its totient is φ = 1437004800.

The previous prime is 6484642147. The next prime is 6484642181. The reversal of 6484642164 is 4612464846.

6484642164 is a `hidden beast` number, since 6 + 484 + 6 + 4 + 2 + 164 = 666.

It is an interprime number because it is at equal distance from previous prime (6484642147) and next prime (6484642181).

Its product of digits (884736) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158161984 + ... + 158162024.

Almost surely, 26484642164 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 6484642164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481358400).

6484642164 is an abundant number, since it is smaller than the sum of its proper divisors (18478074636).

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

6484642164 is a wasteful number, since it uses less digits than its factorization.

6484642164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 6484642164 is about 80527.2759007779. The cubic root of 6484642164 is about 1864.7845912208.

The spelling of 6484642164 in words is "six billion, four hundred eighty-four million, six hundred forty-two thousand, one hundred sixty-four".