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13078424578120 = 23511416111884723
BaseRepresentation
bin1011111001010000111011…
…0110011110100001001000
31201022021200220011212201221
42332110032312132201020
53203234103142444440
643452051215251424
72516612360460316
oct276241666364110
951267626155657
1013078424578120
11419258a7a2020
121572829b19b74
1373b3a05b1625
14332ddb8670b6
1517a2ee6add4a
hexbe50ed9e848

13078424578120 has 128 divisors (see below), whose sum is σ = 33423646999680. Its totient is φ = 4563733248000.

The previous prime is 13078424578103. The next prime is 13078424578123. The reversal of 13078424578120 is 2187542487031.

It is a happy number.

13078424578120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13078424578123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4841922 + ... + 7042801.

It is an arithmetic number, because the mean of its divisors is an integer number (261122242185).

Almost surely, 213078424578120 is an apocalyptic number.

13078424578120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13078424578120 is an abundant number, since it is smaller than the sum of its proper divisors (20345222421560).

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

13078424578120 is a wasteful number, since it uses less digits than its factorization.

13078424578120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884847 (or 11884843 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 52.

The spelling of 13078424578120 in words is "thirteen trillion, seventy-eight billion, four hundred twenty-four million, five hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 61 82 88 110 122 164 205 220 244 305 328 410 440 451 488 610 671 820 902 1220 1342 1640 1804 2255 2440 2501 2684 3355 3608 4510 5002 5368 6710 9020 10004 12505 13420 18040 20008 25010 26840 27511 50020 55022 100040 110044 137555 220088 275110 550220 1100440 11884723 23769446 47538892 59423615 95077784 118847230 130731953 237694460 261463906 475388920 487273643 522927812 653659765 724968103 974547286 1045855624 1307319530 1449936206 1949094572 2436368215 2614639060 2899872412 3624840515 3898189144 4872736430 5229278120 5360010073 5799744824 7249681030 7974649133 9745472860 10720020146 14499362060 15949298266 19490945720 21440040292 26800050365 28998724120 29723692223 31898596532 39873245665 42880080584 53600100730 59447384446 63797193064 79746491330 107200201460 118894768892 148618461115 159492982660 214400402920 237789537784 297236922230 318985965320 326960614453 594473844460 653921228906 1188947688920 1307842457812 1634803072265 2615684915624 3269606144530 6539212289060 13078424578120