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45807492106996 = 22274123417178417
BaseRepresentation
bin10100110101001011000110…
…10010111000101011110100
320000012011010212220100101121
422122211203102320223310
522001002220434410441
6241231401003033324
712435324233341354
oct1232454322705364
9200164125810347
1045807492106996
1113660937106194
12517997050b844
131c738218618a9
14b45147242b64
15546858353dd1
hex29a9634b8af4

45807492106996 has 24 divisors (see below), whose sum is σ = 80196231144456. Its totient is φ = 22894284026880.

The previous prime is 45807492106993. The next prime is 45807492106997. The reversal of 45807492106996 is 69960129470854.

It is a happy number.

45807492106996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 138820327396 + 45668671779600 = 372586^2 + 6757860^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45807492106993) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 256654780 + ... + 256833196.

It is an arithmetic number, because the mean of its divisors is an integer number (3341509631019).

Almost surely, 245807492106996 is an apocalyptic number.

It is an amenable number.

45807492106996 is a deficient number, since it is larger than the sum of its proper divisors (34388739037460).

45807492106996 is a wasteful number, since it uses less digits than its factorization.

45807492106996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204579 (or 204577 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 70.

The spelling of 45807492106996 in words is "forty-five trillion, eight hundred seven billion, four hundred ninety-two million, one hundred six thousand, nine hundred ninety-six".

Divisors: 1 2 4 2741 5482 10964 23417 46834 93668 178417 356834 713668 64185997 128371994 256743988 489040997 978081994 1956163988 4177990889 8355981778 16711963556 11451873026749 22903746053498 45807492106996