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557757453312 = 2103379255361
BaseRepresentation
bin10000001110111001110…
…11110101010000000000
31222022200002001100021000
420013130323311100000
533114241402001222
61104121421532000
755203515062143
oct10073473652000
91868602040230
10557757453312
111a55a85a5a94
129011ba14000
134079a0ca857
141cdd1d2205a
15e7965629ac
hex81dcef5400

557757453312 has 176 divisors, whose sum is σ = 1672723244800. Its totient is φ = 183565025280.

The previous prime is 557757453301. The next prime is 557757453329. The reversal of 557757453312 is 213354757755.

557757453312 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 574 + 53 + 3 + 12 = 666.

It is a super-2 number, since 2×5577574533122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2056512 + ... + 2311872.

Almost surely, 2557757453312 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 557757453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836361622400).

557757453312 is an abundant number, since it is smaller than the sum of its proper divisors (1114965791488).

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

557757453312 is a wasteful number, since it uses less digits than its factorization.

557757453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255469 (or 255445 counting only the distinct ones).

The product of its digits is 15435000, while the sum is 54.

The spelling of 557757453312 in words is "five hundred fifty-seven billion, seven hundred fifty-seven million, four hundred fifty-three thousand, three hundred twelve".