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5970942432 = 2533721319571
BaseRepresentation
bin1011000111110010…
…10101100111100000
3120102010101022012000
411203321111213200
544212030124212
62424254004000
7300652113300
oct54371254740
916363338160
105970942432
112594494474
1211a77a6600
13742063a40
14409007600
1524e2e81dc
hex163e559e0

5970942432 has 576 divisors, whose sum is σ = 23005382400. Its totient is φ = 1489259520.

The previous prime is 5970942427. The next prime is 5970942433. The reversal of 5970942432 is 2342490795.

5970942432 is a `hidden beast` number, since 597 + 0 + 9 + 4 + 24 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5970942433) 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 95 ways as a sum of consecutive naturals, for example, 10456707 + ... + 10457277.

It is an arithmetic number, because the mean of its divisors is an integer number (39939900).

Almost surely, 25970942432 is an apocalyptic number.

5970942432 is a gapful number since it is divisible by the number (52) 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 5970942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11502691200).

5970942432 is an abundant number, since it is smaller than the sum of its proper divisors (17034439968).

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

5970942432 is a wasteful number, since it uses less digits than its factorization.

5970942432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5970942432 is about 77271.8734857645. The cubic root of 5970942432 is about 1814.1824499109.

The spelling of 5970942432 in words is "five billion, nine hundred seventy million, nine hundred forty-two thousand, four hundred thirty-two".