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557243337756 = 2237171923898597
BaseRepresentation
bin10000001101111100100…
…10101000110000011100
31222021100020122120022010
420012332102220300130
533112213243302011
61103554414351220
755155003135030
oct10067622506034
91867306576263
10557243337756
111a53643783a6
128bbb77bb510
1340717742871
141cd839341c0
15e76635c1a6
hex81be4a8c1c

557243337756 has 192 divisors, whose sum is σ = 1657089100800. Its totient is φ = 141884338176.

The previous prime is 557243337733. The next prime is 557243337817. The reversal of 557243337756 is 657733342755.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 557243337696 and 557243337705.

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 63 ways as a sum of consecutive naturals, for example, 64814050 + ... + 64822646.

It is an arithmetic number, because the mean of its divisors is an integer number (8630672400).

Almost surely, 2557243337756 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 557243337756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828544550400).

557243337756 is an abundant number, since it is smaller than the sum of its proper divisors (1099845763044).

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

557243337756 is a wasteful number, since it uses less digits than its factorization.

557243337756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11036 (or 11034 counting only the distinct ones).

The product of its digits is 55566000, while the sum is 57.

The spelling of 557243337756 in words is "five hundred fifty-seven billion, two hundred forty-three million, three hundred thirty-seven thousand, seven hundred fifty-six".