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56953391040 = 26325713217313
BaseRepresentation
bin110101000010101011…
…111100011111000000
312110000011212000221100
4311002223330133000
51413120032003130
642055232454400
74054233556560
oct650253743700
9173004760840
1056953391040
1122176782717
12b0556aa400
1354a8506bb0
142a83dd6da0
151735053c60
hexd42afc7c0

56953391040 has 336 divisors, whose sum is σ = 241103798208. Its totient is φ = 12016484352.

The previous prime is 56953391023. The next prime is 56953391083. The reversal of 56953391040 is 4019335965.

56953391040 is a `hidden beast` number, since 5 + 6 + 9 + 533 + 9 + 104 + 0 = 666.

56953391040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 153424 + ... + 370736.

It is an arithmetic number, because the mean of its divisors is an integer number (717570828).

Almost surely, 256953391040 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 56953391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120551899104).

56953391040 is an abundant number, since it is smaller than the sum of its proper divisors (184150407168).

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

56953391040 is a wasteful number, since it uses less digits than its factorization.

56953391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217356 (or 217343 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 56953391040 in words is "fifty-six billion, nine hundred fifty-three million, three hundred ninety-one thousand, forty".