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56618061696 = 273471922161
BaseRepresentation
bin110100101110101100…
…110000111110000000
312102010210212112120000
4310232230300332000
51411423210433241
642002053320000
74043022404160
oct645654607600
9172123775500
1056618061696
1122014468829
12ab81336000
135453bb9471
142a516685a0
1517158b6eb6
hexd2eb30f80

56618061696 has 480 divisors, whose sum is σ = 203327538480. Its totient is φ = 15318097920.

The previous prime is 56618061683. The next prime is 56618061713. The reversal of 56618061696 is 69616081665.

56618061696 is a `hidden beast` number, since 5 + 6 + 6 + 18 + 0 + 616 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26198856 + ... + 26201016.

Almost surely, 256618061696 is an apocalyptic number.

56618061696 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 56618061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101663769240).

56618061696 is an abundant number, since it is smaller than the sum of its proper divisors (146709476784).

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

56618061696 is a wasteful number, since it uses less digits than its factorization.

56618061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 56618061696 in words is "fifty-six billion, six hundred eighteen million, sixty-one thousand, six hundred ninety-six".