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42739139520 = 26325711316217
BaseRepresentation
bin100111110011011100…
…111000001111000000
311002022120020020112100
4213303130320033000
51200012204431040
631344544030400
73042054456210
oct476334701700
9132276206470
1042739139520
1117142148110
128349302400
1340516c0c8c
1420d62ac240
1511a21edb30
hex9f37383c0

42739139520 has 672 divisors, whose sum is σ = 189221400576. Its totient is φ = 8592998400.

The previous prime is 42739139447. The next prime is 42739139549. The reversal of 42739139520 is 2593193724.

42739139520 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 91 + 39 + 520 = 666.

42739139520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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, 6871452 + ... + 6877668.

Almost surely, 242739139520 is an apocalyptic number.

42739139520 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 42739139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94610700288).

42739139520 is an abundant number, since it is smaller than the sum of its proper divisors (146482261056).

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

42739139520 is a wasteful number, since it uses less digits than its factorization.

42739139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 42739139520 in words is "forty-two billion, seven hundred thirty-nine million, one hundred thirty-nine thousand, five hundred twenty".