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45583431296 = 2713251109139
BaseRepresentation
bin101010011100111110…
…111111011010000000
311100122210021020100012
4222130332333122000
51221323324300141
632535111044052
73202412526104
oct523476773200
9140583236305
1045583431296
1118371727677
128a01970628
1343b5a58370
1422c5d41904
1512bbc86ceb
hexa9cfbf680

45583431296 has 64 divisors (see below), whose sum is σ = 98186709600. Its totient is φ = 20954496000.

The previous prime is 45583431293. The next prime is 45583431301. The reversal of 45583431296 is 69213438554.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (45583431293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363095 + ... + 472233.

Almost surely, 245583431296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45583431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49093354800).

45583431296 is an abundant number, since it is smaller than the sum of its proper divisors (52603278304).

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

45583431296 is a wasteful number, since it uses less digits than its factorization.

45583431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109417 (or 109405 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 50.

The spelling of 45583431296 in words is "forty-five billion, five hundred eighty-three million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 251 416 502 832 1004 1664 2008 3263 4016 6526 8032 13052 16064 26104 32128 52208 104416 109139 208832 218278 417664 436556 873112 1418807 1746224 2837614 3492448 5675228 6984896 11350456 13969792 22700912 27393889 45401824 54787778 90803648 109575556 181607296 219151112 356120557 438302224 712241114 876604448 1424482228 1753208896 2848964456 3506417792 5697928912 11395857824 22791715648 45583431296