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42522616664 = 231121719307443
BaseRepresentation
bin100111100110100010…
…111010001101011000
311001202110210202000022
4213212202322031120
51144041242213124
631311251130012
73033515164223
oct474642721530
9131673722008
1042522616664
11170409aa300
1282a88a3908
1340188a0148
1420b56285ba
15118d1cdc5e
hex9e68ba358

42522616664 has 192 divisors, whose sum is σ = 98215286400. Its totient is φ = 17139133440.

The previous prime is 42522616663. The next prime is 42522616667. The reversal of 42522616664 is 46661622524.

42522616664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42522616663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95987627 + ... + 95988069.

It is an arithmetic number, because the mean of its divisors is an integer number (511537950).

Almost surely, 242522616664 is an apocalyptic number.

42522616664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42522616664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49107643200).

42522616664 is an abundant number, since it is smaller than the sum of its proper divisors (55692669736).

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

42522616664 is a wasteful number, since it uses less digits than its factorization.

42522616664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 799 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The spelling of 42522616664 in words is "forty-two billion, five hundred twenty-two million, six hundred sixteen thousand, six hundred sixty-four".