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32082909408 = 2533116615107
BaseRepresentation
bin11101111000010010…
…100101100011100000
310001210220122122221000
4131320102211203200
51011201211100113
622423320032000
72214021142014
oct357022454340
9101726578830
1032082909408
1112673a69770
126274602600
133043a7ab84
1417a4d26544
15c7b917373
hex7784a58e0

32082909408 has 192 divisors, whose sum is σ = 102256439040. Its totient is φ = 9705484800.

The previous prime is 32082909367. The next prime is 32082909413. The reversal of 32082909408 is 80490928023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6279591 + ... + 6284697.

It is an arithmetic number, because the mean of its divisors is an integer number (532585620).

Almost surely, 232082909408 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 32082909408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51128219520).

32082909408 is an abundant number, since it is smaller than the sum of its proper divisors (70173529632).

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

32082909408 is a wasteful number, since it uses less digits than its factorization.

32082909408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 32082909408 in words is "thirty-two billion, eighty-two million, nine hundred nine thousand, four hundred eight".