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42338188992 = 26311316110601
BaseRepresentation
bin100111011011100011…
…010111111011000000
311001021121202211210210
4213123203113323000
51143202034021432
631241102154120
73026115445221
oct473343277300
9131247684723
1042338188992
1116a56893040
128256b82940
133cb9608b48
142098d3b248
15117bded8cc
hex9db8d7ec0

42338188992 has 224 divisors, whose sum is σ = 128225507328. Its totient is φ = 12211200000.

The previous prime is 42338188987. The next prime is 42338188993. The reversal of 42338188992 is 29988183324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42338188993) 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, 3988492 + ... + 3999092.

Almost surely, 242338188992 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 42338188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64112753664).

42338188992 is an abundant number, since it is smaller than the sum of its proper divisors (85887318336).

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

42338188992 is a wasteful number, since it uses less digits than its factorization.

42338188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719 (or 10709 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The spelling of 42338188992 in words is "forty-two billion, three hundred thirty-eight million, one hundred eighty-eight thousand, nine hundred ninety-two".