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5678146656 = 2534721319181
BaseRepresentation
bin1010100100111000…
…11010010001100000
3112122201102201220000
411102130122101200
543112101143111
62335234220000
7260465310300
oct52234322140
915581381800
105678146656
112454190696
121125724600
136c64b90c0
143bc18b600
1523375dc56
hex15271a460

5678146656 has 720 divisors, whose sum is σ = 22142680560. Its totient is φ = 1410877440.

The previous prime is 5678146633. The next prime is 5678146673. The reversal of 5678146656 is 6566418765.

5678146656 is a `hidden beast` number, since 56 + 7 + 81 + 466 + 56 = 666.

It is a super-3 number, since 3×56781466563 (a number of 30 digits) contains 333 as substring.

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

Its product of digits (7257600) is a multiple of the sum of its prime divisors (225).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31370886 + ... + 31371066.

It is an arithmetic number, because the mean of its divisors is an integer number (30753723).

Almost surely, 25678146656 is an apocalyptic number.

5678146656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5678146656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071340280).

5678146656 is an abundant number, since it is smaller than the sum of its proper divisors (16464533904).

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

5678146656 is a wasteful number, since it uses less digits than its factorization.

5678146656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5678146656 is about 75353.4780617325. The cubic root of 5678146656 is about 1784.0301998413.

The spelling of 5678146656 in words is "five billion, six hundred seventy-eight million, one hundred forty-six thousand, six hundred fifty-six".