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45040555136 = 277119325679
BaseRepresentation
bin101001111100101000…
…000101010010000000
311022020221202021020202
4221330220011102000
51214220340231021
632405155224332
73153101254553
oct517450052200
9138227667222
1045040555136
1118113245795
12888bba80a8
13432a440575
142273bc869a
15128929ea0b
hexa7ca05480

45040555136 has 64 divisors (see below), whose sum is σ = 91468051200. Its totient is φ = 22087188480.

The previous prime is 45040555103. The next prime is 45040555151. The reversal of 45040555136 is 63155504054.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45040555136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741145 + ... + 1766823.

It is an arithmetic number, because the mean of its divisors is an integer number (1429188300).

Almost surely, 245040555136 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 45040555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45734025600).

45040555136 is an abundant number, since it is smaller than the sum of its proper divisors (46427496064).

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

45040555136 is a wasteful number, since it uses less digits than its factorization.

45040555136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25957 (or 25945 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 45040555136 in words is "forty-five billion, forty million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 193 284 386 568 772 1136 1544 2272 3088 4544 6176 9088 12352 13703 24704 25679 27406 51358 54812 102716 109624 205432 219248 410864 438496 821728 876992 1643456 1753984 1823209 3286912 3646418 4956047 7292836 9912094 14585672 19824188 29171344 39648376 58342688 79296752 116685376 158593504 233370752 317187008 351879337 634374016 703758674 1407517348 2815034696 5630069392 11260138784 22520277568 45040555136