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5842796974560 = 253257131719316173
BaseRepresentation
bin101010100000110000111…
…0101101001000111100000
3202200120021120022102200200
41111001201311221013200
51231212022011141220
620232051024345200
71142061645562560
oct125014165510740
922616246272620
105842796974560
111952a09630717
127a4458a75200
13334c86701310
14162b15952da0
15a1eb7d38890
hex55061d691e0

5842796974560 has 4608 divisors, whose sum is σ = 29089018183680. Its totient is φ = 1031956070400.

The previous prime is 5842796974513. The next prime is 5842796974561. The reversal of 5842796974560 is 654796972485.

5842796974560 is a `hidden beast` number, since 5 + 8 + 42 + 79 + 69 + 7 + 456 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5842796974561) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 80038314684 + ... + 80038314756.

It is an arithmetic number, because the mean of its divisors is an integer number (6312720960).

Almost surely, 25842796974560 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 5842796974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544509091840).

5842796974560 is an abundant number, since it is smaller than the sum of its proper divisors (23246221209120).

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

5842796974560 is a wasteful number, since it uses less digits than its factorization.

5842796974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 5842796974560 in words is "five trillion, eight hundred forty-two billion, seven hundred ninety-six million, nine hundred seventy-four thousand, five hundred sixty".