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5932964016 = 2433719313331
BaseRepresentation
bin1011000011010000…
…11101100010110000
3120022110220210121000
411201220131202300
544122314322031
62420420002000
7300011235120
oct54150354260
916273823530
105932964016
112575004751
121196b30300
137372273c5
14403d5cc80
1524ace53e6
hex161a1d8b0

5932964016 has 320 divisors, whose sum is σ = 21154201600. Its totient is φ = 1553644800.

The previous prime is 5932964003. The next prime is 5932964017. The reversal of 5932964016 is 6104692395.

5932964016 is a `hidden beast` number, since 593 + 2 + 9 + 6 + 40 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (5932964017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779471 + ... + 1782801.

It is an arithmetic number, because the mean of its divisors is an integer number (66106880).

Almost surely, 25932964016 is an apocalyptic number.

5932964016 is a gapful number since it is divisible by the number (56) 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 5932964016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577100800).

5932964016 is an abundant number, since it is smaller than the sum of its proper divisors (15221237584).

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

5932964016 is a wasteful number, since it uses less digits than its factorization.

5932964016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5932964016 is about 77025.7360626953. The cubic root of 5932964016 is about 1810.3278727996.

The spelling of 5932964016 in words is "five billion, nine hundred thirty-two million, nine hundred sixty-four thousand, sixteen".