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56969347680 = 2535571923479
BaseRepresentation
bin110101000011101000…
…110100001001100000
312110001021212201100000
4311003220310021200
51413133123111210
642101002500000
74054516315440
oct650350641140
9173037781300
1056969347680
1122184791123
12b05ab04600
1354ab902aab
142a8618c120
151736656ac0
hexd43a34260

56969347680 has 1152 divisors, whose sum is σ = 253609574400. Its totient is φ = 11775227904.

The previous prime is 56969347619. The next prime is 56969347681. The reversal of 56969347680 is 8674396965.

56969347680 is a `hidden beast` number, since 569 + 6 + 9 + 3 + 4 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56969347681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118933681 + ... + 118934159.

It is an arithmetic number, because the mean of its divisors is an integer number (220147200).

Almost surely, 256969347680 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 56969347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126804787200).

56969347680 is an abundant number, since it is smaller than the sum of its proper divisors (196640226720).

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

56969347680 is a wasteful number, since it uses less digits than its factorization.

56969347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 56969347680 in words is "fifty-six billion, nine hundred sixty-nine million, three hundred forty-seven thousand, six hundred eighty".