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13319054720 = 275197115427
BaseRepresentation
bin11000110011110000…
…01010010110000000
31021101020011002020222
430121320022112000
5204234134222340
610041345322212
7651026045216
oct143170122600
937336132228
1013319054720
115715293a44
1226b8636368
13134351188a
14904c9ccb6
1552e4768b5
hex319e0a580

13319054720 has 128 divisors (see below), whose sum is σ = 33990969600. Its totient is φ = 4975810560.

The previous prime is 13319054717. The next prime is 13319054741. The reversal of 13319054720 is 2745091331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 855647 + ... + 871073.

It is an arithmetic number, because the mean of its divisors is an integer number (265554450).

Almost surely, 213319054720 is an apocalyptic number.

13319054720 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 13319054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16995484800).

13319054720 is an abundant number, since it is smaller than the sum of its proper divisors (20671914880).

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

13319054720 is a wasteful number, since it uses less digits than its factorization.

13319054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 13319054720 in words is "thirteen billion, three hundred nineteen million, fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 71 76 80 95 128 142 152 160 190 284 304 320 355 380 568 608 640 710 760 1136 1216 1349 1420 1520 2272 2432 2698 2840 3040 4544 5396 5680 6080 6745 9088 10792 11360 12160 13490 15427 21584 22720 26980 30854 43168 45440 53960 61708 77135 86336 107920 123416 154270 172672 215840 246832 293113 308540 431680 493664 586226 617080 863360 987328 1095317 1172452 1234160 1465565 1974656 2190634 2344904 2468320 2931130 4381268 4689808 4936640 5476585 5862260 8762536 9379616 9873280 10953170 11724520 17525072 18759232 20811023 21906340 23449040 35050144 37518464 41622046 43812680 46898080 70100288 83244092 87625360 93796160 104055115 140200576 166488184 175250720 187592320 208110230 332976368 350501440 416220460 665952736 701002880 832440920 1331905472 1664881840 2663810944 3329763680 6659527360 13319054720