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42843756564 = 223271929973181
BaseRepresentation
bin100111111001101011…
…111101100000010100
311002120212002100010200
4213321223331200110
51200221000202224
631403202220500
73044464631160
oct477153754024
9132525070120
1042843756564
1117196202484
128378354730
13406a29015b
142106141ca0
1511ab4b65c9
hex9f9afd814

42843756564 has 288 divisors, whose sum is σ = 136209964800. Its totient is φ = 11078000640.

The previous prime is 42843756563. The next prime is 42843756581. The reversal of 42843756564 is 46565734824.

42843756564 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 3 + 75 + 6 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42843756564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42843756563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13467054 + ... + 13470234.

Almost surely, 242843756564 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 42843756564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104982400).

42843756564 is an abundant number, since it is smaller than the sum of its proper divisors (93366208236).

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

42843756564 is a wasteful number, since it uses less digits than its factorization.

42843756564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3338 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 42843756564 in words is "forty-two billion, eight hundred forty-three million, seven hundred fifty-six thousand, five hundred sixty-four".