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42522142656 = 2637257307401
BaseRepresentation
bin100111100110100001…
…000110011111000000
311001202102220122210110
4213212201012133000
51144041132031111
631311233031320
73033511151250
oct474641063700
9131672818713
1042522142656
1117040706164
1282a86b5540
134018765476
1420b5543960
15118d1385a6
hex9e68467c0

42522142656 has 224 divisors, whose sum is σ = 129822561792. Its totient is φ = 12032409600.

The previous prime is 42522142639. The next prime is 42522142657. The reversal of 42522142656 is 65624122524.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42522142657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106040056 + ... + 106040456.

It is an arithmetic number, because the mean of its divisors is an integer number (579565008).

Almost surely, 242522142656 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 42522142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64911280896).

42522142656 is an abundant number, since it is smaller than the sum of its proper divisors (87300419136).

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

42522142656 is a wasteful number, since it uses less digits than its factorization.

42522142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 977 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The spelling of 42522142656 in words is "forty-two billion, five hundred twenty-two million, one hundred forty-two thousand, six hundred fifty-six".