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56921639040 = 2732577383233
BaseRepresentation
bin110101000000110010…
…110100100010000000
312102220222002212101100
4311000302310202000
51413033414422130
642052140134400
74053366643260
oct650062644200
9172828085340
1056921639040
112215a8659a2
12b046b37400
1354a1a6a626
142a7dacd7a0
151732380c60
hexd40cb4880

56921639040 has 768 divisors, whose sum is σ = 231447041280. Its totient is φ = 12623413248.

The previous prime is 56921639029. The next prime is 56921639051. The reversal of 56921639040 is 4093612965.

56921639040 is a `hidden beast` number, since 5 + 6 + 9 + 2 + 1 + 639 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56921639029) and next prime (56921639051).

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

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, 244298764 + ... + 244298996.

It is an arithmetic number, because the mean of its divisors is an integer number (301363335).

Almost surely, 256921639040 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 56921639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115723520640).

56921639040 is an abundant number, since it is smaller than the sum of its proper divisors (174525402240).

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

56921639040 is a wasteful number, since it uses less digits than its factorization.

56921639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 56921639040 in words is "fifty-six billion, nine hundred twenty-one million, six hundred thirty-nine thousand, forty".