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45822766038912 = 273239776706631
BaseRepresentation
bin10100110101100111100011…
…01100010011111110000000
320000020121120100111111000200
422122303301230103332000
522001230011101221122
6241242404344245200
712436404600536202
oct1232636154237600
9200217510444020
1045822766038912
1113667364917315
125180913770800
131c750b707c325
14b45b959b2772
15546e4e2285ac
hex29acf1b13f80

45822766038912 has 48 divisors (see below), whose sum is σ = 131859782485080. Its totient is φ = 15274255345920.

The previous prime is 45822766038871. The next prime is 45822766038949. The reversal of 45822766038912 is 21983066722854.

45822766038912 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 2 + 7 + 6 + 603 + 8 + 9 + 12 = 666.

45822766038912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45822766038912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19888352164 + ... + 19888354467.

It is a 2-persistent number, because it is pandigital, and so is 2⋅45822766038912 = 91645532077824, but 3⋅45822766038912 = 137468298116736 is not.

Almost surely, 245822766038912 is an apocalyptic number.

It is an amenable number.

45822766038912 is an abundant number, since it is smaller than the sum of its proper divisors (86037016446168).

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

45822766038912 is a wasteful number, since it uses less digits than its factorization.

45822766038912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39776706651 (or 39776706636 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 45822766038912 in words is "forty-five trillion, eight hundred twenty-two billion, seven hundred sixty-six million, thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 39776706631 79553413262 119330119893 159106826524 238660239786 318213653048 357990359679 477320479572 636427306096 715980719358 954640959144 1272854612192 1431961438716 1909281918288 2545709224384 2863922877432 3818563836576 5091418448768 5727845754864 7637127673152 11455691509728 15274255346304 22911383019456 45822766038912