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557081875896 = 233713363170249
BaseRepresentation
bin10000001101101001010…
…10101101010110111000
31222020220222211110021020
420012310222231112320
533111400430012041
61103530405542440
755151002546530
oct10066452552670
91866828743236
10557081875896
111a5291217747
128bb71714a20
13406c015c8c0
141cd6a3044c0
15e7570b6866
hex81b4aad5b8

557081875896 has 128 divisors (see below), whose sum is σ = 1714594560000. Its totient is φ = 146880138240.

The previous prime is 557081875879. The next prime is 557081875897. The reversal of 557081875896 is 698578180755.

It is a self number, because there is not a number n which added to its sum of digits gives 557081875896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557081875897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7894980 + ... + 7965228.

It is an arithmetic number, because the mean of its divisors is an integer number (13395270000).

Almost surely, 2557081875896 is an apocalyptic number.

557081875896 is a gapful number since it is divisible by the number (56) 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 557081875896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857297280000).

557081875896 is an abundant number, since it is smaller than the sum of its proper divisors (1157512684104).

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

557081875896 is a wasteful number, since it uses less digits than its factorization.

557081875896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73909 (or 73905 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 69.

The spelling of 557081875896 in words is "five hundred fifty-seven billion, eighty-one million, eight hundred seventy-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 3631 7262 10893 14524 21786 25417 29048 43572 47203 50834 70249 76251 87144 94406 101668 140498 141609 152502 188812 203336 210747 280996 283218 305004 330421 377624 421494 491743 561992 566436 610008 660842 842988 913237 983486 991263 1132872 1321684 1475229 1685976 1826474 1966972 1982526 2643368 2739711 2950458 3652948 3933944 3965052 5479422 5900916 6392659 7305896 7930104 10958844 11801832 12785318 19177977 21917688 25570636 38355954 51141272 76711908 153423816 255074119 510148238 765222357 1020296476 1530444714 1785518833 2040592952 3060889428 3315963547 3571037666 5356556499 6121778856 6631927094 7142075332 9947890641 10713112998 13263854188 14284150664 19895781282 21426225996 23211744829 26527708376 39791562564 42852451992 46423489658 69635234487 79583125128 92846979316 139270468974 185693958632 278540937948 557081875896