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42335659080 = 233251121374761
BaseRepresentation
bin100111011011011001…
…101110010001001000
311001021110000022102100
4213123121232101020
51143200412042310
631240532033400
73026055110331
oct473331562110
9131243008370
1042335659080
1116a55415300
128256162860
133cb8c31460
14209887d288
15117ba9dec0
hex9db66e448

42335659080 has 288 divisors, whose sum is σ = 162872007480. Its totient is φ = 9473587200.

The previous prime is 42335659061. The next prime is 42335659097. The reversal of 42335659080 is 8095653324.

42335659080 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 56 + 590 + 8 + 0 = 666.

42335659080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21993483204 + 20342175876 = 148302^2 + 142626^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 528900 + ... + 603660.

Almost surely, 242335659080 is an apocalyptic number.

42335659080 is a gapful number since it is divisible by the number (40) 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 42335659080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81436003740).

42335659080 is an abundant number, since it is smaller than the sum of its proper divisors (120536348400).

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

42335659080 is a wasteful number, since it uses less digits than its factorization.

42335659080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74813 (or 74795 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 42335659080 in words is "forty-two billion, three hundred thirty-five million, six hundred fifty-nine thousand, eighty".