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4866656256 = 21135711127
BaseRepresentation
bin1001000100001001…
…10100100000000000
3110120011110202100000
410202010310200000
534431331000011
62122525200000
7231412616130
oct44204644000
913504422300
104866656256
112078111970
12b39a00000
135c7342177
143424b0ac0
151d73b7356
hex122134800

4866656256 has 576 divisors, whose sum is σ = 18316247040. Its totient is φ = 1254113280.

The previous prime is 4866656251. The next prime is 4866656261. The reversal of 4866656256 is 6526566684.

It is an interprime number because it is at equal distance from previous prime (4866656251) and next prime (4866656261).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×48666562562 = 47368686228127875072, which contains 22 as substring.

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

Its product of digits (12441600) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4866656251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38320065 + ... + 38320191.

It is an arithmetic number, because the mean of its divisors is an integer number (31799040).

Almost surely, 24866656256 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 4866656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158123520).

4866656256 is an abundant number, since it is smaller than the sum of its proper divisors (13449590784).

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

4866656256 is a wasteful number, since it uses less digits than its factorization.

4866656256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 4866656256 is about 69761.4238386804. The cubic root of 4866656256 is about 1694.6378049815.

The spelling of 4866656256 in words is "four billion, eight hundred sixty-six million, six hundred fifty-six thousand, two hundred fifty-six".