Search a number
-
+
13791225614520 = 23351721517314189
BaseRepresentation
bin1100100010110000010100…
…0110101001000010111000
31210211102120020002022012010
43020230011012221002320
53301423412224131040
645155333535245520
72622245266351554
oct310540506510270
953742506068163
1013791225614520
11443790a360842
1216689b96798a0
13790678b39903
143596dad04864
1518db1c4b5e80
hexc8b051a90b8

13791225614520 has 128 divisors (see below), whose sum is σ = 43809597921600. Its totient is φ = 3461155332096.

The previous prime is 13791225614423. The next prime is 13791225614539. The reversal of 13791225614520 is 2541652219731.

It is a self number, because there is not a number n which added to its sum of digits gives 13791225614520.

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 31 ways as a sum of consecutive naturals, for example, 43737586 + ... + 44051774.

Almost surely, 213791225614520 is an apocalyptic number.

13791225614520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13791225614520 is an abundant number, since it is smaller than the sum of its proper divisors (30018372307080).

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

13791225614520 is a wasteful number, since it uses less digits than its factorization.

13791225614520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335737 (or 335733 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 13791225614520 in words is "thirteen trillion, seven hundred ninety-one billion, two hundred twenty-five million, six hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 21517 43034 64551 86068 107585 129102 172136 215170 258204 314189 322755 365789 430340 516408 628378 645510 731578 860680 942567 1097367 1256756 1291020 1463156 1570945 1828945 1885134 2194734 2513512 2582040 2926312 3141890 3657890 3770268 4389468 4712835 5341213 5486835 6283780 7315780 7540536 8778936 9425670 10682426 10973670 12567560 14631560 16023639 18851340 21364852 21947340 26706065 32047278 37702680 42729704 43894680 53412130 64094556 80118195 106824260 128189112 160236390 213648520 320472780 640945560 6760404713 13520809426 20281214139 27041618852 33802023565 40562428278 54083237704 67604047130 81124856556 101406070695 114926880121 135208094260 162249713112 202812141390 229853760242 270416188520 344780640363 405624282780 459707520484 574634400605 689561280726 811248565560 919415040968 1149268801210 1379122561452 1723903201815 2298537602420 2758245122904 3447806403630 4597075204840 6895612807260 13791225614520