Search a number
-
+
13534159403760 = 2435293192465293
BaseRepresentation
bin1100010011110010101011…
…0000110111101011110000
31202220212000211122202012020
43010330222300313223300
53233220424301410020
644441301302231440
72564545041540342
oct304745260675360
952825024582166
1013534159403760
11434889416a896
121627016725580
1377235bb31c28
1434b0b1c5d292
151870c4154c40
hexc4f2ac37af0

13534159403760 has 80 divisors (see below), whose sum is σ = 42099088548384. Its totient is φ = 3596791376896.

The previous prime is 13534159403759. The next prime is 13534159403771. The reversal of 13534159403760 is 6730495143531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96162327 + ... + 96302966.

Almost surely, 213534159403760 is an apocalyptic number.

13534159403760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13534159403760 is an abundant number, since it is smaller than the sum of its proper divisors (28564929144624).

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

13534159403760 is a wasteful number, since it uses less digits than its factorization.

13534159403760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192465602 (or 192465596 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 13534159403760 in words is "thirteen trillion, five hundred thirty-four billion, one hundred fifty-nine million, four hundred three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 293 586 879 1172 1465 1758 2344 2930 3516 4395 4688 5860 7032 8790 11720 14064 17580 23440 35160 70320 192465293 384930586 577395879 769861172 962326465 1154791758 1539722344 1924652930 2309583516 2886979395 3079444688 3849305860 4619167032 5773958790 7698611720 9238334064 11547917580 15397223440 23095835160 46191670320 56392330849 112784661698 169176992547 225569323396 281961654245 338353985094 451138646792 563923308490 676707970188 845884962735 902277293584 1127846616980 1353415940376 1691769925470 2255693233960 2706831880752 3383539850940 4511386467920 6767079701880 13534159403760