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15045315220 = 225132317314543
BaseRepresentation
bin11100000001100010…
…10100101010010100
31102211112102012111001
432000301110222110
5221303100041340
610524533153044
71041560032525
oct160061245224
942745365431
1015045315220
116420763011
122aba78b784
13155a053cb0
14a2a25c84c
155d0cb629a
hex380c54a94

15045315220 has 96 divisors (see below), whose sum is σ = 35712617472. Its totient is φ = 5282585088.

The previous prime is 15045315169. The next prime is 15045315227. The reversal of 15045315220 is 2251354051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15045315227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1027269 + ... + 1041811.

It is an arithmetic number, because the mean of its divisors is an integer number (372006432).

Almost surely, 215045315220 is an apocalyptic number.

15045315220 is a gapful number since it is divisible by the number (10) 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 15045315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856308736).

15045315220 is an abundant number, since it is smaller than the sum of its proper divisors (20667302252).

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

15045315220 is a wasteful number, since it uses less digits than its factorization.

15045315220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 15045315220 its reverse (2251354051), we get a palindrome (17296669271).

The spelling of 15045315220 in words is "fifteen billion, forty-five million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 173 230 260 299 346 460 598 692 865 1196 1495 1730 2249 2990 3460 3979 4498 5980 7958 8996 11245 14543 15916 19895 22490 29086 39790 44980 51727 58172 72715 79580 103454 145430 189059 206908 258635 290860 334489 378118 517270 668978 756236 945295 1034540 1337956 1672445 1890590 2515939 3344890 3781180 4348357 5031878 6689780 8696714 10063756 12579695 17393428 21741785 25159390 32707207 43483570 50318780 57866597 65414414 86967140 115733194 130828828 163536035 231466388 289332985 327072070 578665970 654144140 752265761 1157331940 1504531522 3009063044 3761328805 7522657610 15045315220