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42320318976 = 29321317291433
BaseRepresentation
bin100111011010011111…
…001101001000000000
311001020101010221202100
4213122133031020000
51143133000201401
631235223150400
73025510530105
oct473237151000
9131211127670
1042320318976
1116a47798031
128250ba5400
133cb59c0080
142096808aac
15117a56db86
hex9da7cd200

42320318976 has 480 divisors, whose sum is σ = 144174990960. Its totient is φ = 11824791552.

The previous prime is 42320318951. The next prime is 42320319071. The reversal of 42320318976 is 67981302324.

42320318976 is a `hidden beast` number, since 4 + 2 + 320 + 318 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27185414400 + 15134904576 = 164880^2 + 123024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29531956 + ... + 29533388.

Almost surely, 242320318976 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 42320318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72087495480).

42320318976 is an abundant number, since it is smaller than the sum of its proper divisors (101854671984).

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

42320318976 is a wasteful number, since it uses less digits than its factorization.

42320318976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42320318976 in words is "forty-two billion, three hundred twenty million, three hundred eighteen thousand, nine hundred seventy-six".