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56128751280 = 24335723117107
BaseRepresentation
bin110100010001100010…
…001100011010110000
312100212201010222212000
4310101202030122300
51404422430020110
641441333534000
74024631341200
oct642142143260
9170781128760
1056128751280
1121893242658
12aa654a4300
1353a6707a84
142a06696400
1516d79611c0
hexd1188c6b0

56128751280 has 480 divisors, whose sum is σ = 232165140480. Its totient is φ = 12414850560.

The previous prime is 56128751213. The next prime is 56128751291. The reversal of 56128751280 is 8215782165.

56128751280 is a `hidden beast` number, since 5 + 6 + 128 + 7 + 512 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3272487 + ... + 3289593.

It is an arithmetic number, because the mean of its divisors is an integer number (483677376).

Almost surely, 256128751280 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 56128751280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116082570240).

56128751280 is an abundant number, since it is smaller than the sum of its proper divisors (176036389200).

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

56128751280 is a wasteful number, since it uses less digits than its factorization.

56128751280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17174 (or 17155 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 56128751280 in words is "fifty-six billion, one hundred twenty-eight million, seven hundred fifty-one thousand, two hundred eighty".