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56868516600 = 233527235711031
BaseRepresentation
bin110100111101101000…
…001011001011111000
312102210021010222002120
4310331220023023320
51412431320012400
642043001401240
74052153262330
oct647550131370
9172707128076
1056868516600
1122132882255
12b031199220
135493a5ac2c
142a76a220c0
15172c88aca0
hexd3da0b2f8

56868516600 has 384 divisors, whose sum is σ = 210809364480. Its totient is φ = 12399552000.

The previous prime is 56868516589. The next prime is 56868516619. The reversal of 56868516600 is 661586865.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55158085 + ... + 55159115.

It is an arithmetic number, because the mean of its divisors is an integer number (548982720).

Almost surely, 256868516600 is an apocalyptic number.

56868516600 is a gapful number since it is divisible by the number (50) 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 56868516600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105404682240).

56868516600 is an abundant number, since it is smaller than the sum of its proper divisors (153940847880).

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

56868516600 is a wasteful number, since it uses less digits than its factorization.

56868516600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 56868516600 in words is "fifty-six billion, eight hundred sixty-eight million, five hundred sixteen thousand, six hundred".