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45036307320 = 23354161150061
BaseRepresentation
bin101001111100010111…
…111000001101111000
311022020122202110100020
4221330113320031320
51214213243313240
632404524210440
73153020203344
oct517427701570
9138218673306
1045036307320
11181109042a4
12888a699a20
1343295b3c74
142273400624
151288c110d0
hexa7c5f8378

45036307320 has 128 divisors (see below), whose sum is σ = 140674121280. Its totient is φ = 11524608000.

The previous prime is 45036307313. The next prime is 45036307321. The reversal of 45036307320 is 2370363054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45036307321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225090 + ... + 375150.

Almost surely, 245036307320 is an apocalyptic number.

45036307320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45036307320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70337060640).

45036307320 is an abundant number, since it is smaller than the sum of its proper divisors (95637813960).

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

45036307320 is a wasteful number, since it uses less digits than its factorization.

45036307320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150177 (or 150173 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The spelling of 45036307320 in words is "forty-five billion, thirty-six million, three hundred seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 61 82 120 122 123 164 183 205 244 246 305 328 366 410 488 492 610 615 732 820 915 984 1220 1230 1464 1640 1830 2440 2460 2501 3660 4920 5002 7320 7503 10004 12505 15006 20008 25010 30012 37515 50020 60024 75030 100040 150060 150061 300120 300122 450183 600244 750305 900366 1200488 1500610 1800732 2250915 3001220 3601464 4501830 6002440 6152501 9003660 9153721 12305002 18007320 18307442 18457503 24610004 27461163 30762505 36614884 36915006 45768605 49220008 54922326 61525010 73229768 73830012 91537210 92287515 109844652 123050020 137305815 147660024 183074420 184575030 219689304 246100040 274611630 366148840 369150060 375302561 549223260 738300120 750605122 1098446520 1125907683 1501210244 1876512805 2251815366 3002420488 3753025610 4503630732 5629538415 7506051220 9007261464 11259076830 15012102440 22518153660 45036307320