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5993222976 = 2632131723289
BaseRepresentation
bin1011001010011100…
…10101001101000000
3120110200022021100100
411211032111031000
544233231113401
62430411322400
7301342361166
oct54516251500
916420267310
105993222976
1125a6022144
1211b3150400
137468651b0
1440bd67236
15251249b86
hex165395340

5993222976 has 504 divisors, whose sum is σ = 20706908040. Its totient is φ = 1641480192.

The previous prime is 5993222933. The next prime is 5993222981. The reversal of 5993222976 is 6792223995.

5993222976 is a `hidden beast` number, since 599 + 3 + 22 + 29 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 190440000 + 5802782976 = 13800^2 + 76176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67339540 + ... + 67339628.

It is an arithmetic number, because the mean of its divisors is an integer number (41085135).

Almost surely, 25993222976 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 5993222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10353454020).

5993222976 is an abundant number, since it is smaller than the sum of its proper divisors (14713685064).

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

5993222976 is a wasteful number, since it uses less digits than its factorization.

5993222976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 5993222976 is about 77415.9090626726. The cubic root of 5993222976 is about 1816.4361867616.

The spelling of 5993222976 in words is "five billion, nine hundred ninety-three million, two hundred twenty-two thousand, nine hundred seventy-six".