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56478194640 = 243257192325643
BaseRepresentation
bin110100100110010111…
…001101101111010000
312101210001200120000200
4310212113031233100
51411131404212030
641540135415200
74036403506410
oct644627155720
9171701616020
1056478194640
1121a5251761a
12ab42524500
135430c277aa
142a3ac5a640
151708489d60
hexd265cdbd0

56478194640 has 480 divisors, whose sum is σ = 238107617280. Its totient is φ = 11697675264.

The previous prime is 56478194639. The next prime is 56478194651. The reversal of 56478194640 is 4649187465.

56478194640 is a `hidden beast` number, since 564 + 7 + 8 + 19 + 4 + 64 + 0 = 666.

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, 2189659 + ... + 2215301.

It is an arithmetic number, because the mean of its divisors is an integer number (496057536).

Almost surely, 256478194640 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 56478194640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119053808640).

56478194640 is an abundant number, since it is smaller than the sum of its proper divisors (181629422640).

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

56478194640 is a wasteful number, since it uses less digits than its factorization.

56478194640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25711 (or 25702 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56478194640 in words is "fifty-six billion, four hundred seventy-eight million, one hundred ninety-four thousand, six hundred forty".