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5796465925536 = 25331113223414389
BaseRepresentation
bin101010001011001100001…
…0010101101110110100000
3202112010200200021021122000
41110112120102231312200
51224432130234104121
620154505405244000
71135531554266106
oct124263022556640
922463620237560
105796465925536
1119352a39a0860
12797488863600
133307b1b03900
1416079c5ddc76
15a0ba5625526
hex545984adda0

5796465925536 has 2304 divisors, whose sum is σ = 22089637785600. Its totient is φ = 1461274214400.

The previous prime is 5796465925531. The next prime is 5796465925543. The reversal of 5796465925536 is 6355295646975.

5796465925536 is a `hidden beast` number, since 5 + 7 + 9 + 6 + 4 + 65 + 9 + 2 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1837080000) is a multiple of the sum of its prime divisors (225).

It is not an unprimeable number, because it can be changed into a prime (5796465925531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 65128830580 + ... + 65128830668.

It is an arithmetic number, because the mean of its divisors is an integer number (9587516400).

Almost surely, 25796465925536 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 5796465925536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044818892800).

5796465925536 is an abundant number, since it is smaller than the sum of its proper divisors (16293171860064).

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

5796465925536 is a wasteful number, since it uses less digits than its factorization.

5796465925536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its digits is 1837080000, while the sum is 72.

The spelling of 5796465925536 in words is "five trillion, seven hundred ninety-six billion, four hundred sixty-five million, nine hundred twenty-five thousand, five hundred thirty-six".