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2254368881106 = 232148301844517
BaseRepresentation
bin100000110011100010110…
…110110011100111010010
321222111220211202212021200
4200303202312303213102
5243413421413143411
64443350500532030
7321605235214356
oct40634266634722
97874824685250
102254368881106
1179a08850a081
12304ab36b1016
131347807abbc4
147b17d5d9466
153d994634e56
hex20ce2db39d2

2254368881106 has 24 divisors (see below), whose sum is σ = 4884504629004. Its totient is φ = 751450336800.

The previous prime is 2254368881069. The next prime is 2254368881143. The reversal of 2254368881106 is 6011888634522.

2254368881106 is a `hidden beast` number, since 2 + 2 + 543 + 6 + 8 + 8 + 81 + 10 + 6 = 666.

2254368881106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2254368881069) and next prime (2254368881143).

It can be written as a sum of positive squares in 2 ways, for example, as 2066719636881 + 187649244225 = 1437609^2 + 433185^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2247160 + ... + 3091676.

Almost surely, 22254368881106 is an apocalyptic number.

2254368881106 is an abundant number, since it is smaller than the sum of its proper divisors (2630135747898).

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

2254368881106 is a wasteful number, since it uses less digits than its factorization.

2254368881106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992826 (or 992823 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2254368881106 in words is "two trillion, two hundred fifty-four billion, three hundred sixty-eight million, eight hundred eighty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 148301 296602 444903 844517 889806 1334709 1689034 2533551 2669418 5067102 7600653 15201306 125242715617 250485431234 375728146851 751456293702 1127184440553 2254368881106