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15130445520 = 2435377612239
BaseRepresentation
bin11100001011101100…
…00100011011010000
31110001110121021022010
432011312010123100
5221441343224040
610541213542520
71043642444031
oct160566043320
943043537263
1015130445520
116464818733
122b231a4a40
13157188c558
14a3769ca88
155d84cee80
hex385d846d0

15130445520 has 160 divisors (see below), whose sum is σ = 48256911360. Its totient is φ = 3918827520.

The previous prime is 15130445507. The next prime is 15130445549. The reversal of 15130445520 is 2554403151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6756561 + ... + 6758799.

It is an arithmetic number, because the mean of its divisors is an integer number (301605696).

Almost surely, 215130445520 is an apocalyptic number.

15130445520 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 15130445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24128455680).

15130445520 is an abundant number, since it is smaller than the sum of its proper divisors (33126465840).

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

15130445520 is a wasteful number, since it uses less digits than its factorization.

15130445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 15130445520 its reverse (2554403151), we get a palindrome (17684848671).

The spelling of 15130445520 in words is "fifteen billion, one hundred thirty million, four hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 761 888 1110 1480 1522 1776 2220 2239 2283 2960 3044 3805 4440 4478 4566 6088 6717 7610 8880 8956 9132 11195 11415 12176 13434 15220 17912 18264 22390 22830 26868 28157 30440 33585 35824 36528 44780 45660 53736 56314 60880 67170 82843 84471 89560 91320 107472 112628 134340 140785 165686 168942 179120 182640 225256 248529 268680 281570 331372 337884 414215 422355 450512 497058 537360 563140 662744 675768 828430 844710 994116 1126280 1242645 1325488 1351536 1656860 1689420 1703879 1988232 2252560 2485290 3313720 3378840 3407758 3976464 4970580 5111637 6627440 6757680 6815516 8519395 9941160 10223274 13631032 17038790 19882320 20446548 25558185 27262064 34077580 40893096 51116370 63043523 68155160 81786192 102232740 126087046 136310320 189130569 204465480 252174092 315217615 378261138 408930960 504348184 630435230 756522276 945652845 1008696368 1260870460 1513044552 1891305690 2521740920 3026089104 3782611380 5043481840 7565222760 15130445520