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13730017392 = 24327131047773
BaseRepresentation
bin11001100100101111…
…10111000001110000
31022102212110011001200
430302113313001300
5211104341024032
610150225531200
7664146136140
oct146227670160
938385404050
1013730017392
115906267313
1227b21a3b00
1313aa6c0c60
149436b8920
155555a347c
hex3325f7070

13730017392 has 120 divisors (see below), whose sum is σ = 47292327264. Its totient is φ = 3621100032.

The previous prime is 13730017373. The next prime is 13730017403. The reversal of 13730017392 is 29371003731.

13730017392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510783 + ... + 536990.

Almost surely, 213730017392 is an apocalyptic number.

13730017392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13730017392 is an abundant number, since it is smaller than the sum of its proper divisors (33562309872).

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

13730017392 is a wasteful number, since it uses less digits than its factorization.

13730017392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047807 (or 1047798 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 13730017392 in words is "thirteen billion, seven hundred thirty million, seventeen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 1047773 2095546 3143319 4191092 6286638 7334411 8382184 9429957 12573276 13621049 14668822 16764368 18859914 22003233 25146552 27242098 29337644 37719828 40863147 44006466 50293104 54484196 58675288 66009699 75439656 81726294 88012932 95347343 108968392 117350576 122589441 132019398 150879312 163452588 176025864 190694686 217936784 245178882 264038796 286042029 326905176 352051728 381389372 490357764 528077592 572084058 653810352 762778744 858126087 980715528 1056155184 1144168116 1525557488 1716252174 1961431056 2288336232 3432504348 4576672464 6865008696 13730017392