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557987789755 = 5112314925711519
BaseRepresentation
bin10000001111010101010…
…10011111101110111011
31222100021010110122110101
420013222222133232323
533120224333233010
61104200330500231
755212312646024
oct10075252375673
91870233418411
10557987789755
111a5706619190
1290184b94677
1340805a46cc6
141d01475dc4b
15e7ab8b073a
hex81eaa9fbbb

557987789755 has 64 divisors (see below), whose sum is σ = 770383872000. Its totient is φ = 384026705920.

The previous prime is 557987789753. The next prime is 557987789803.

557987789755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557987789755 - 21 = 557987789753 is a prime.

It is a super-2 number, since 2×5579877897552 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557987789753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48434886 + ... + 48446404.

It is an arithmetic number, because the mean of its divisors is an integer number (12037248000).

Almost surely, 2557987789755 is an apocalyptic number.

557987789755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557987789755 is a deficient number, since it is larger than the sum of its proper divisors (212396082245).

557987789755 is a wasteful number, since it uses less digits than its factorization.

557987789755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11964.

The product of its digits is 7779240000, while the sum is 82.

The spelling of 557987789755 in words is "five hundred fifty-seven billion, nine hundred eighty-seven million, seven hundred eighty-nine thousand, seven hundred fifty-five".

Divisors: 1 5 11 23 55 115 149 253 257 745 1265 1285 1639 2827 3427 5911 8195 11519 14135 17135 29555 37697 38293 57595 65021 126709 188485 191465 264937 325105 421223 633545 880739 1324685 1716331 2106115 2914307 2960383 4403695 8581655 9688129 14571535 14801915 18879641 32564213 39475613 48440645 68088809 94398205 162821065 197378065 340444045 434231743 441097067 748976899 2171158715 2205485335 3744884495 4852067737 10145232541 24260338685 50726162705 111597557951 557987789755