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557100050136 = 233712728192921
BaseRepresentation
bin10000001101101011100…
…00000010011011011000
31222020222021000210122020
420012311300002123120
533111420103101021
61103532255254440
755151313202620
oct10066560023330
91866867023566
10557100050136
111a52a0500283
128bb7781a420
13406c3b53ca6
141cd6c8b5880
15e7589a67c6
hex81b5c026d8

557100050136 has 128 divisors (see below), whose sum is σ = 1609974005760. Its totient is φ = 157354444800.

The previous prime is 557100050123. The next prime is 557100050137. The reversal of 557100050136 is 631050001755.

It is a junction number, because it is equal to n+sod(n) for n = 557100050097 and 557100050106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557100050137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5948956 + ... + 6041876.

It is an arithmetic number, because the mean of its divisors is an integer number (12577921920).

Almost surely, 2557100050136 is an apocalyptic number.

557100050136 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 557100050136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804987002880).

557100050136 is an abundant number, since it is smaller than the sum of its proper divisors (1052873955624).

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

557100050136 is a wasteful number, since it uses less digits than its factorization.

557100050136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93345 (or 93341 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The spelling of 557100050136 in words is "five hundred fifty-seven billion, one hundred million, fifty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 281 381 508 562 762 843 889 1016 1124 1524 1686 1778 1967 2248 2667 3048 3372 3556 3934 5334 5901 6744 7112 7868 10668 11802 15736 21336 23604 35687 47208 71374 92921 107061 142748 185842 214122 249809 278763 285496 371684 428244 499618 557526 650447 743368 749427 856488 999236 1115052 1300894 1498854 1951341 1998472 2230104 2601788 2997708 3902682 5203576 5995416 7805364 11800967 15610728 23601934 26110801 35402901 47203868 52221602 70805802 78332403 82606769 94407736 104443204 141611604 156664806 165213538 182775607 208886408 247820307 283223208 313329612 330427076 365551214 495640614 548326821 626659224 660854152 731102428 991281228 1096653642 1462204856 1982562456 2193307284 3316071727 4386614568 6632143454 9948215181 13264286908 19896430362 23212502089 26528573816 39792860724 46425004178 69637506267 79585721448 92850008356 139275012534 185700016712 278550025068 557100050136