Search a number
-
+
72113536111266 = 2321319149108858179
BaseRepresentation
bin10000011001011000111101…
…101101000001001010100010
3100110022222122022200122212200
4100121120331231001022202
533423002010221030031
6413212300125234030
721122013436121616
oct2031307555011242
9313288568618780
1072113536111266
1120a831a7158821
128108105402916
13313137b2390b0
1413b4456db7346
15850c8a25c8e6
hex41963db412a2

72113536111266 has 96 divisors (see below), whose sum is σ = 178309698840000. Its totient is φ = 20879869405824.

The previous prime is 72113536111219. The next prime is 72113536111283. The reversal of 72113536111266 is 66211163531127.

72113536111266 is a `hidden beast` number, since 7 + 2 + 1 + 1 + 3 + 5 + 3 + 611 + 1 + 26 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53766636 + ... + 55091543.

It is an arithmetic number, because the mean of its divisors is an integer number (1857392696250).

Almost surely, 272113536111266 is an apocalyptic number.

72113536111266 is an abundant number, since it is smaller than the sum of its proper divisors (106196162728734).

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

72113536111266 is a wasteful number, since it uses less digits than its factorization.

72113536111266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108858368 (or 108858365 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 72113536111266 in words is "seventy-two trillion, one hundred thirteen billion, five hundred thirty-six million, one hundred eleven thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 149 171 234 247 298 342 447 494 741 894 1341 1482 1937 2223 2682 2831 3874 4446 5662 5811 8493 11622 16986 17433 25479 34866 36803 50958 73606 110409 220818 331227 662454 108858179 217716358 326574537 653149074 979723611 1415156327 1959447222 2068305401 2830312654 4136610802 4245468981 6204916203 8490937962 12409832406 12736406943 16219868671 18614748609 25472813886 26887970213 32439737342 37229497218 48659606013 53775940426 80663910639 97319212026 145978818039 161327821278 210858292723 241991731917 291957636078 308177504749 421716585446 483983463834 616355009498 632574878169 924532514247 1265149756338 1849065028494 1897724634507 2773597542741 3795449269014 4006307561737 5547195085482 8012615123474 12018922685211 24037845370422 36056768055633 72113536111266