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56249791488 = 210321117127257
BaseRepresentation
bin110100011000101111…
…111011010000000000
312101012010220110210200
4310120233323100000
51410144421311423
641501340125200
74030631224122
oct643057732000
9171163813720
1056249791488
11219455a4990
12aa99b36800
1353c58072b7
142a187a3212
1516e33bed43
hexd18bfb400

56249791488 has 528 divisors, whose sum is σ = 189821159424. Its totient is φ = 15854469120.

The previous prime is 56249791459. The next prime is 56249791489. The reversal of 56249791488 is 88419794265.

56249791488 is a `hidden beast` number, since 5 + 62 + 4 + 9 + 7 + 91 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56249791489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218870656 + ... + 218870912.

Almost surely, 256249791488 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 56249791488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94910579712).

56249791488 is an abundant number, since it is smaller than the sum of its proper divisors (133571367936).

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

56249791488 is a wasteful number, since it uses less digits than its factorization.

56249791488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 417 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 56249791488 in words is "fifty-six billion, two hundred forty-nine million, seven hundred ninety-one thousand, four hundred eighty-eight".