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56080746480 = 243511171976343
BaseRepresentation
bin110100001110101011…
…000100011111110000
312100202100211002122110
4310032223010133300
51404323132341410
641432501005320
74023506323413
oct641653043760
9170670732573
1056080746480
1121869134970
12aa513b3840
13539979a875
142a0015bb7a
1516d362c720
hexd0eac47f0

56080746480 has 320 divisors, whose sum is σ = 201862222848. Its totient is φ = 12728647680.

The previous prime is 56080746479. The next prime is 56080746481. The reversal of 56080746480 is 8464708065.

56080746480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56080746479) and next prime (56080746481).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56080746481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8838189 + ... + 8844531.

Almost surely, 256080746480 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 56080746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931111424).

56080746480 is an abundant number, since it is smaller than the sum of its proper divisors (145781476368).

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

56080746480 is a wasteful number, since it uses less digits than its factorization.

56080746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 56080746480 in words is "fifty-six billion, eighty million, seven hundred forty-six thousand, four hundred eighty".