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15305053120 = 265759115807
BaseRepresentation
bin11100100000100000…
…01001001111000000
31110111122011020220021
432100100021033000
5222321043144440
611010412223224
71051162543060
oct162020111700
943448136807
1015305053120
116544337a35
122b7176ab14
13159bac5b66
14a529513a0
155e89c084a
hex3904093c0

15305053120 has 112 divisors (see below), whose sum is σ = 42357934080. Its totient is φ = 5158462464.

The previous prime is 15305053117. The next prime is 15305053187. The reversal of 15305053120 is 2135050351.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74257 + ... + 190063.

It is an arithmetic number, because the mean of its divisors is an integer number (378195840).

Almost surely, 215305053120 is an apocalyptic number.

15305053120 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 15305053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21178967040).

15305053120 is an abundant number, since it is smaller than the sum of its proper divisors (27052880960).

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

15305053120 is a wasteful number, since it uses less digits than its factorization.

15305053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115890 (or 115880 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 15305053120 in words is "fifteen billion, three hundred five million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 140 160 224 236 280 295 320 413 448 472 560 590 826 944 1120 1180 1652 1888 2065 2240 2360 3304 3776 4130 4720 6608 8260 9440 13216 16520 18880 26432 33040 66080 115807 132160 231614 463228 579035 810649 926456 1158070 1621298 1852912 2316140 3242596 3705824 4053245 4632280 6485192 6832613 7411648 8106490 9264560 12970384 13665226 16212980 18529120 25940768 27330452 32425960 34163065 37058240 47828291 51881536 54660904 64851920 68326130 95656582 109321808 129703840 136652260 191313164 218643616 239141455 259407680 273304520 382626328 437287232 478282910 546609040 765252656 956565820 1093218080 1530505312 1913131640 2186436160 3061010624 3826263280 7652526560 15305053120