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12318677311408 = 2413477271733279
BaseRepresentation
bin1011001101000010101001…
…1000101001111110110000
31121121122122210122212010221
42303100222120221332300
53103312122342431113
642111042222502424
72410665210323656
oct263205230517660
947548583585127
1012318677311408
113a1a35a216656
12146b538134a14
136b4852b76040
1430832749add6
1516568517798d
hexb342a629fb0

12318677311408 has 80 divisors (see below), whose sum is σ = 26286397562880. Its totient is φ = 5556917000448.

The previous prime is 12318677311351. The next prime is 12318677311411. The reversal of 12318677311408 is 80411377681321.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6240513 + ... + 7973791.

It is an arithmetic number, because the mean of its divisors is an integer number (328579969536).

Almost surely, 212318677311408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12318677311408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13143198781440).

12318677311408 is an abundant number, since it is smaller than the sum of its proper divisors (13967720251472).

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

12318677311408 is a wasteful number, since it uses less digits than its factorization.

12318677311408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734074 (or 1734068 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 12318677311408 in words is "twelve trillion, three hundred eighteen billion, six hundred seventy-seven million, three hundred eleven thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 727 752 1222 1454 2444 2908 4888 5816 9451 9776 11632 18902 34169 37804 68338 75608 136676 151216 273352 444197 546704 888394 1733279 1776788 3466558 3553576 6933116 7107152 13866232 22532627 27732464 45065254 81464113 90130508 162928226 180261016 325856452 360522032 651712904 1059033469 1260093833 1303425808 2118066938 2520187666 4236133876 5040375332 8472267752 10080750664 16381219829 16944535504 20161501328 32762439658 59224410151 65524879316 118448820302 131049758632 236897640604 262099517264 473795281208 769917331963 947590562416 1539834663926 3079669327852 6159338655704 12318677311408