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255556347012 = 223229677694751
BaseRepresentation
bin1110111000000001011…
…0000110010010000100
3220102122011100112022100
43232000112012102010
513141334411101022
6313222335232100
724314632052121
oct3560026062204
9812564315270
10255556347012
1199420993a7a
1241641378630
131b139270ba5
14c524735748
1569aaa191ac
hex3b80586484

255556347012 has 144 divisors (see below), whose sum is σ = 679264185600. Its totient is φ = 80898048000.

The previous prime is 255556347001. The next prime is 255556347017. The reversal of 255556347012 is 210743655552.

It is a happy number.

255556347012 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 5 + 634 + 7 + 0 + 1 + 2 = 666.

255556347012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2555563470122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (255556347017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53787637 + ... + 53792387.

It is an arithmetic number, because the mean of its divisors is an integer number (4717112400).

Almost surely, 2255556347012 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 255556347012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339632092800).

255556347012 is an abundant number, since it is smaller than the sum of its proper divisors (423707838588).

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

255556347012 is a wasteful number, since it uses less digits than its factorization.

255556347012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 255556347012 in words is "two hundred fifty-five billion, five hundred fifty-six million, three hundred forty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 67 87 116 134 174 201 261 268 348 402 522 603 769 804 1044 1206 1538 1943 2307 2412 3076 3886 4614 4751 5829 6921 7772 9228 9502 11658 13842 14253 17487 19004 22301 23316 27684 28506 34974 42759 44602 51523 57012 66903 69948 85518 89204 103046 133806 137779 154569 171036 200709 206092 267612 275558 309138 318317 401418 413337 463707 551116 618276 636634 802836 826674 927414 954951 1240011 1273268 1494167 1653348 1854828 1909902 2480022 2864853 2988334 3653519 3819804 4482501 4960044 5729706 5976668 7307038 8965002 9231193 10960557 11459412 13447503 14614076 17930004 18462386 21921114 26895006 27693579 32881671 36924772 43842228 53790012 55387158 65763342 83080737 105952051 110774316 131526684 166161474 211904102 244785773 317856153 332322948 423808204 489571546 635712306 734357319 953568459 979143092 1271424612 1468714638 1907136918 2203071957 2937429276 3814273836 4406143914 7098787417 8812287828 14197574834 21296362251 28395149668 42592724502 63889086753 85185449004 127778173506 255556347012