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5972330880 = 27345235009
BaseRepresentation
bin1011000111111101…
…01000100110000000
3120102012222211210000
411203332220212000
544212404042010
62424343440000
7300666655245
oct54376504600
916365884700
105972330880
11259525264a
1211a8156000
1374242b9c9
144092895cc
1524e4be7c0
hex163fa8980

5972330880 has 320 divisors, whose sum is σ = 22260031200. Its totient is φ = 1523073024.

The previous prime is 5972330879. The next prime is 5972330893. The reversal of 5972330880 is 880332795.

5972330880 is a `hidden beast` number, since 597 + 23 + 30 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×59723308802 = 71337472280403148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1189816 + ... + 1194824.

Almost surely, 25972330880 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 5972330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130015600).

5972330880 is an abundant number, since it is smaller than the sum of its proper divisors (16287700320).

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

5972330880 is a wasteful number, since it uses less digits than its factorization.

5972330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5972330880 is about 77280.8571381037. The cubic root of 5972330880 is about 1814.3230588016.

The spelling of 5972330880 in words is "five billion, nine hundred seventy-two million, three hundred thirty thousand, eight hundred eighty".