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2255310561056 = 25723749737817
BaseRepresentation
bin100000110100011010111…
…111000001111100100000
321222121100110201011022212
4200310122333001330200
5243422334000423211
64444024140221252
7321640461316100
oct40643277017440
97877313634285
102255310561056
1179a52101a173
12305116b3a828
131348a0909987
147b22c6c5200
153d9ec14638b
hex20d1afc1f20

2255310561056 has 144 divisors (see below), whose sum is σ = 5306405675256. Its totient is φ = 940128989184.

The previous prime is 2255310561041. The next prime is 2255310561061. The reversal of 2255310561056 is 6501650135522.

It can be written as a sum of positive squares in 4 ways, for example, as 1813643984656 + 441666576400 = 1346716^2 + 664580^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 288509660 + ... + 288517476.

Almost surely, 22255310561056 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 2255310561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653202837628).

2255310561056 is an abundant number, since it is smaller than the sum of its proper divisors (3051095114200).

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

2255310561056 is a wasteful number, since it uses less digits than its factorization.

2255310561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12836 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

Adding to 2255310561056 its reverse (6501650135522), we get a palindrome (8756960696578).

The spelling of 2255310561056 in words is "two trillion, two hundred fifty-five billion, three hundred ten million, five hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4144 4973 7252 7817 8288 9946 14504 15634 19892 29008 31268 34811 39784 54719 58016 62536 69622 79568 109438 125072 139244 159136 184001 218876 243677 250144 278488 289229 368002 383033 437752 487354 556976 578458 736004 766066 875504 974708 1113952 1156916 1288007 1472008 1532132 1751008 1949416 2024603 2313832 2576014 2944016 3064264 3898832 4049206 4627664 5152028 5888032 6128528 7797664 8098412 9016049 9255328 10304056 12257056 14172221 16196824 18032098 20608112 28344442 32393648 36064196 38873941 41216224 56688884 64787296 72128392 77747882 113377768 144256784 155495764 226755536 272117587 288513568 310991528 453511072 544235174 621983056 1088470348 1243966112 1438335817 1904823109 2176940696 2876671634 3809646218 4353881392 5753343268 7619292436 8707762784 10068350719 11506686536 15238584872 20136701438 23013373072 30477169744 40273402876 46026746144 60954339488 70478455033 80546805752 140956910066 161093611504 281913820132 322187223008 563827640264 1127655280528 2255310561056