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56850647040 = 211355113167
BaseRepresentation
bin110100111100100100…
…000000100000000000
312102202000112002200000
4310330210000200000
51412412231201130
642041122400000
74051545345435
oct647444004000
9172660462600
1056850647040
1122123787620
12b027200000
135490142425
142a744cdb8c
15172b00b260
hexd3c900800

56850647040 has 1152 divisors, whose sum is σ = 233532149760. Its totient is φ = 13138329600.

The previous prime is 56850647039. The next prime is 56850647057. The reversal of 56850647040 is 4074605865.

56850647040 is a `hidden beast` number, since 5 + 68 + 506 + 47 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 848517087 + ... + 848517153.

It is an arithmetic number, because the mean of its divisors is an integer number (202718880).

Almost surely, 256850647040 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 56850647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116766074880).

56850647040 is an abundant number, since it is smaller than the sum of its proper divisors (176681502720).

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

56850647040 is a wasteful number, since it uses less digits than its factorization.

56850647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 56850647040 in words is "fifty-six billion, eight hundred fifty million, six hundred forty-seven thousand, forty".