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42552351660 = 223572138391327
BaseRepresentation
bin100111101000010100…
…010101101110101100
311001211112202102202110
4213220110111232230
51144121400223120
631314232324020
73034326010200
oct475024255654
9131745672673
1042552351660
1117056769685
1282b6843610
134021ab1610
1420b9568b00
151190b042e0
hex9e8515bac

42552351660 has 288 divisors, whose sum is σ = 149551073280. Its totient is φ = 8960620032.

The previous prime is 42552351637. The next prime is 42552351707. The reversal of 42552351660 is 6615325524.

42552351660 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32065917 + ... + 32067243.

It is an arithmetic number, because the mean of its divisors is an integer number (519274560).

Almost surely, 242552351660 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 42552351660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74775536640).

42552351660 is an abundant number, since it is smaller than the sum of its proper divisors (106998721620).

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

42552351660 is a wasteful number, since it uses less digits than its factorization.

42552351660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 42552351660 in words is "forty-two billion, five hundred fifty-two million, three hundred fifty-one thousand, six hundred sixty".