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45015337408 = 2617359115249
BaseRepresentation
bin101001111011000111…
…111000100111000000
311022012012022002000211
4221323013320213000
51214142411244113
632402454523504
73152344024516
oct517307704700
9138165262024
1045015337408
11180aaa91298
128883666594
134325151232
1422707024b6
151286e6cb3d
hexa7b1f89c0

45015337408 has 56 divisors (see below), whose sum is σ = 94846140000. Its totient is φ = 21124497408.

The previous prime is 45015337333. The next prime is 45015337441. The reversal of 45015337408 is 80473351054.

45015337408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332968 + ... + 448216.

Almost surely, 245015337408 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 45015337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47423070000).

45015337408 is an abundant number, since it is smaller than the sum of its proper divisors (49830802592).

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

45015337408 is a wasteful number, since it uses less digits than its factorization.

45015337408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115637 (or 115627 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 45015337408 in words is "forty-five billion, fifteen million, three hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 359 544 718 1088 1436 2872 5744 6103 11488 12206 22976 24412 48824 97648 115249 195296 230498 390592 460996 921992 1843984 1959233 3687968 3918466 7375936 7836932 15673864 31347728 41374391 62695456 82748782 125390912 165497564 330995128 661990256 703364647 1323980512 1406729294 2647961024 2813458588 5626917176 11253834352 22507668704 45015337408