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42723441792 = 2733372291459
BaseRepresentation
bin100111110010100000…
…111111110010000000
311002021110200201022000
4213302200333302000
51144444200114132
631343223344000
73041504156223
oct476240776200
9132243621260
1042723441792
11171342a6189
128343bb2000
13404b385b95
1420d41835ba
1511a0b4c87c
hex9f283fc80

42723441792 has 256 divisors, whose sum is σ = 130156080000. Its totient is φ = 13786288128.

The previous prime is 42723441767. The next prime is 42723441793. The reversal of 42723441792 is 29714432724.

It is not an unprimeable number, because it can be changed into a prime (42723441793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29281959 + ... + 29283417.

Almost surely, 242723441792 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 42723441792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65078040000).

42723441792 is an abundant number, since it is smaller than the sum of its proper divisors (87432638208).

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

42723441792 is a wasteful number, since it uses less digits than its factorization.

42723441792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1730 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 42723441792 in words is "forty-two billion, seven hundred twenty-three million, four hundred forty-one thousand, seven hundred ninety-two".