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45637742120 = 23543139190889
BaseRepresentation
bin101010100000001110…
…001010111000101000
311100210120110111210012
4222200032022320220
51221431230221440
632544331111052
73203642256515
oct524016127050
9140716414705
1045637742120
111839a352153
128a17ba2488
1343c4092949
1422cd23c30c
1512c1913e65
hexaa038ae28

45637742120 has 64 divisors (see below), whose sum is σ = 105829416000. Its totient is φ = 17702189568.

The previous prime is 45637742089. The next prime is 45637742123. The reversal of 45637742120 is 2124773654.

It is not an unprimeable number, because it can be changed into a prime (45637742123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143636 + ... + 334524.

It is an arithmetic number, because the mean of its divisors is an integer number (1653584625).

Almost surely, 245637742120 is an apocalyptic number.

45637742120 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 45637742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52914708000).

45637742120 is an abundant number, since it is smaller than the sum of its proper divisors (60191673880).

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

45637742120 is a wasteful number, since it uses less digits than its factorization.

45637742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191082 (or 191078 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 45637742120 in words is "forty-five billion, six hundred thirty-seven million, seven hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 139 172 215 278 344 430 556 695 860 1112 1390 1720 2780 5560 5977 11954 23908 29885 47816 59770 119540 190889 239080 381778 763556 954445 1527112 1908890 3817780 7635560 8208227 16416454 26533571 32832908 41041135 53067142 65665816 82082270 106134284 132667855 164164540 212268568 265335710 328329080 530671420 1061342840 1140943553 2281887106 4563774212 5704717765 9127548424 11409435530 22818871060 45637742120