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13047263720 = 23573127151233
BaseRepresentation
bin11000010011010110…
…10111000111101000
31020200021201200002122
430021223113013220
5203210044414340
65554400050412
7641215624511
oct141153270750
936607650078
1013047263720
115595927387
122641603a08
1312cc10c7ba
148bab4da08
1551568adb5
hex309ad71e8

13047263720 has 128 divisors (see below), whose sum is σ = 30321008640. Its totient is φ = 5051289600.

The previous prime is 13047263699. The next prime is 13047263737. The reversal of 13047263720 is 2736274031.

13047263720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 55996724 + ... + 55996956.

It is an arithmetic number, because the mean of its divisors is an integer number (236882880).

Almost surely, 213047263720 is an apocalyptic number.

13047263720 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 13047263720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160504320).

13047263720 is an abundant number, since it is smaller than the sum of its proper divisors (17273744920).

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

13047263720 is a wasteful number, since it uses less digits than its factorization.

13047263720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 13047263720 in words is "thirteen billion, forty-seven million, two hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 127 146 151 233 254 292 302 365 466 508 584 604 635 730 755 932 1016 1165 1208 1270 1460 1510 1864 2330 2540 2920 3020 4660 5080 6040 9271 9320 11023 17009 18542 19177 22046 29591 34018 35183 37084 38354 44092 46355 55115 59182 68036 70366 74168 76708 85045 88184 92710 95885 110230 118364 136072 140732 147955 153416 170090 175915 185420 191770 220460 236728 281464 295910 340180 351830 370840 383540 440920 591820 680360 703660 767080 1183640 1399921 1407320 2160143 2568359 2799842 4320286 4468241 5136718 5599684 6999605 8640572 8936482 10273436 10800715 11199368 12841795 13999210 17281144 17872964 20546872 21601430 22341205 25683590 27998420 35745928 43202860 44682410 51367180 55996840 86405720 89364820 102734360 178729640 326181593 652363186 1304726372 1630907965 2609452744 3261815930 6523631860 13047263720