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255072270552 = 233116189177967
BaseRepresentation
bin1110110110001101111…
…1011111100011011000
3220101101102110220020120
43231203133133203120
513134342000124202
6313102323553240
724266633345361
oct3554337374330
9811342426216
10255072270552
11991a2713190
124152722b820
131b08cba2908
14c4ba326b68
15697d2990bc
hex3b637df8d8

255072270552 has 128 divisors (see below), whose sum is σ = 715004236800. Its totient is φ = 75172838400.

The previous prime is 255072270547. The next prime is 255072270569.

255072270552 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344273 + ... + 1522239.

It is an arithmetic number, because the mean of its divisors is an integer number (5585970600).

Almost surely, 2255072270552 is an apocalyptic number.

255072270552 is a gapful number since it is divisible by the number (22) 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 255072270552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357502118400).

255072270552 is an abundant number, since it is smaller than the sum of its proper divisors (459931966248).

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

255072270552 is a wasteful number, since it uses less digits than its factorization.

255072270552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178137 (or 178133 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The spelling of 255072270552 in words is "two hundred fifty-five billion, seventy-two million, two hundred seventy thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 89 122 132 178 183 244 264 267 356 366 488 534 671 712 732 979 1068 1342 1464 1958 2013 2136 2684 2937 3916 4026 5368 5429 5874 7832 8052 10858 11748 16104 16287 21716 23496 32574 43432 59719 65148 119438 130296 177967 179157 238876 355934 358314 477752 533901 711868 716628 1067802 1423736 1433256 1957637 2135604 3915274 4271208 5872911 7830548 10855987 11745822 15661096 15839063 21711974 23491644 31678126 32567961 43423948 46983288 47517189 63356252 65135922 86847896 95034378 119415857 126712504 130271844 174229693 190068756 238831714 260543688 348459386 358247571 380137512 477663428 522689079 696918772 716495142 955326856 966182843 1045378158 1393837544 1432990284 1932365686 2090756316 2865980568 2898548529 3864731372 4181512632 5797097058 7729462744 10628011273 11594194116 21256022546 23188388232 31884033819 42512045092 63768067638 85024090184 127536135276 255072270552