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45052233225054 = 23115914298096329
BaseRepresentation
bin10100011111001100010100…
…10110111001001101011110
312220111221200121001220012120
422033212022112321031132
521401113433201200204
6235452413224043410
712326626223640636
oct1217461226711536
9186457617056176
1045052233225054
111339a5aa167720
125077511903566
131c1a53ac93c93
14b1a77addb6c6
15531da2db46d9
hex28f98a5b935e

45052233225054 has 64 divisors (see below), whose sum is σ = 100031776416000. Its totient is φ = 13411405405440.

The previous prime is 45052233225031. The next prime is 45052233225161.

45052233225054 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 45052233224997 and 45052233225015.

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, 1516362 + ... + 9612690.

It is an arithmetic number, because the mean of its divisors is an integer number (1562996506500).

Almost surely, 245052233225054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45052233225054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50015888208000).

45052233225054 is an abundant number, since it is smaller than the sum of its proper divisors (54979543190946).

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

45052233225054 is a wasteful number, since it uses less digits than its factorization.

45052233225054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097833.

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 45052233225054 in words is "forty-five trillion, fifty-two billion, two hundred thirty-three million, two hundred twenty-five thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1429 1947 2858 3894 4287 8574 15719 31438 47157 84311 94314 168622 252933 505866 927421 1854842 2782263 5564526 8096329 16192658 24288987 48577974 89059619 178119238 267178857 477683411 534357714 955366822 1433050233 2866100466 5254517521 10509035042 11569654141 15763552563 23139308282 31527105126 34708962423 69417924846 127266195551 254532391102 381798586653 682609594319 763597173306 1365219188638 2047828782957 4095657565914 7508705537509 15017411075018 22526116612527 45052233225054