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56783586240 = 26325371513529
BaseRepresentation
bin110100111000100100…
…001100001111000000
312102120100100001112200
4310320210030033000
51412243044224430
642030325153200
74050102343053
oct647044141700
9172510301480
1056783586240
1122099943877
12b00885b800
13547c292694
142a69634a9a
1517251b1460
hexd3890c3c0

56783586240 has 336 divisors, whose sum is σ = 201976207680. Its totient is φ = 14631321600.

The previous prime is 56783586163. The next prime is 56783586283. The reversal of 56783586240 is 4268538765.

56783586240 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 3 + 5 + 8 + 624 + 0 = 666.

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, 16088796 + ... + 16092324.

Almost surely, 256783586240 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 56783586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100988103840).

56783586240 is an abundant number, since it is smaller than the sum of its proper divisors (145192621440).

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

56783586240 is a wasteful number, since it uses less digits than its factorization.

56783586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 56783586240 in words is "fifty-six billion, seven hundred eighty-three million, five hundred eighty-six thousand, two hundred forty".