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557229583872 = 29331317210729
BaseRepresentation
bin10000001101111010111…
…10001010111000000000
31222021022021202210112000
420012331132022320000
533112201233140442
61103553203504000
755154445212163
oct10067536127000
91867267683460
10557229583872
111a5357633955
128bbb3088000
1340714938480
141cd81b93ada
15e765041d4c
hex81bd78ae00

557229583872 has 480 divisors, whose sum is σ = 1887129736800. Its totient is φ = 161354612736.

The previous prime is 557229583847. The next prime is 557229583879. The reversal of 557229583872 is 278385922755.

557229583872 is a `hidden beast` number, since 5 + 572 + 2 + 9 + 58 + 3 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557229583879) 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 47 ways as a sum of consecutive naturals, for example, 51931404 + ... + 51942132.

It is an arithmetic number, because the mean of its divisors is an integer number (3931520285).

Almost surely, 2557229583872 is an apocalyptic number.

557229583872 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 557229583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943564868400).

557229583872 is an abundant number, since it is smaller than the sum of its proper divisors (1329900152928).

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

557229583872 is a wasteful number, since it uses less digits than its factorization.

557229583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10803 (or 10764 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 557229583872 in words is "five hundred fifty-seven billion, two hundred twenty-nine million, five hundred eighty-three thousand, eight hundred seventy-two".