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45009119295 = 3257245134523
BaseRepresentation
bin101001111010110000…
…001010100000111111
311022011202121011101100
4221322300022200333
51214134313304140
632402113344143
73152240126100
oct517260124077
9138152534340
1045009119295
11180a7524558
128881568053
134323a84b8a
14226d9643a7
151286640530
hexa7ac0a83f

45009119295 has 72 divisors (see below), whose sum is σ = 90793259856. Its totient is φ = 20566490112.

The previous prime is 45009119291. The next prime is 45009119347. The reversal of 45009119295 is 59291190054.

45009119295 is a `hidden beast` number, since 4 + 500 + 9 + 119 + 29 + 5 = 666.

45009119295 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45009119295 - 22 = 45009119291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45009119295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45009119291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9948904 + ... + 9953426.

It is an arithmetic number, because the mean of its divisors is an integer number (1261017498).

Almost surely, 245009119295 is an apocalyptic number.

45009119295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45009119295 is an abundant number, since it is smaller than the sum of its proper divisors (45784140561).

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

45009119295 is a wasteful number, since it uses less digits than its factorization.

45009119295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 45009119295 in words is "forty-five billion, nine million, one hundred nineteen thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 4513 4523 13539 13569 22565 22615 31591 31661 40617 40707 67695 67845 94773 94983 157955 158305 203085 203535 221137 221627 284319 284949 473865 474915 663411 664881 1105685 1108135 1421595 1424745 1990233 1994643 3317055 3324405 9951165 9973215 20412299 61236897 102061495 142886093 183710691 306184485 428658279 714430465 918553455 1000202651 1285974837 2143291395 3000607953 5001013255 6429874185 9001823859 15003039765 45009119295