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56419701120 = 27375173233
BaseRepresentation
bin110100100010111000…
…000101000110000000
312101121222121210000000
4310202320011012000
51411021420413440
641530250000000
74035063355356
oct644270050600
9171558553000
1056419701120
1121a224a5572
12ab26a16000
135421a87443
142a331917d6
151703283730
hexd22e05180

56419701120 has 512 divisors, whose sum is σ = 204329174400. Its totient is φ = 14894088192.

The previous prime is 56419701101. The next prime is 56419701157. The reversal of 56419701120 is 2110791465.

56419701120 is a `hidden beast` number, since 5 + 641 + 9 + 7 + 0 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242144524 + ... + 242144756.

Almost surely, 256419701120 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 56419701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102164587200).

56419701120 is an abundant number, since it is smaller than the sum of its proper divisors (147909473280).

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

56419701120 is an equidigital number, since it uses as much as digits as its factorization.

56419701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 56419701120 in words is "fifty-six billion, four hundred nineteen million, seven hundred one thousand, one hundred twenty".