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12464756116204 = 22717317509162293
BaseRepresentation
bin1011010101100010110101…
…0111000100101011101100
31122010121201021201000102111
42311120231113010223230
53113210310031204304
642302121354333404
72424356163556150
oct265305527045354
948117637630374
1012464756116204
113a76300965807
12149390572a264
136c5562c36142
1431142416d060
1516938489b704
hexb562d5c4aec

12464756116204 has 96 divisors (see below), whose sum is σ = 26531407647360. Its totient is φ = 5002062753792.

The previous prime is 12464756116199. The next prime is 12464756116213. The reversal of 12464756116204 is 40261165746421.

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 31 ways as a sum of consecutive naturals, for example, 76722882 + ... + 76885174.

It is an arithmetic number, because the mean of its divisors is an integer number (276368829660).

Almost surely, 212464756116204 is an apocalyptic number.

12464756116204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12464756116204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265703823680).

12464756116204 is an abundant number, since it is smaller than the sum of its proper divisors (14066651531156).

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

12464756116204 is a wasteful number, since it uses less digits than its factorization.

12464756116204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163147 (or 163145 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 12464756116204 in words is "twelve trillion, four hundred sixty-four billion, seven hundred fifty-six million, one hundred sixteen thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 317 476 509 634 1018 1268 2036 2219 3563 4438 5389 7126 8653 8876 10778 14252 17306 21556 34612 37723 60571 75446 121142 150892 161353 162293 242284 322706 324586 645412 649172 1129471 1136051 2258942 2272102 2743001 2758981 4517884 4544204 5486002 5517962 10972004 11035924 19201007 19312867 38402014 38625734 51446881 76804028 77251468 82607137 102893762 165214274 205787524 330428548 360128167 578249959 720256334 874596977 1156499918 1404321329 1440512668 1749193954 2312999836 2808642658 3498387908 5617285316 6122178839 9830249303 12244357678 19660498606 24488715356 26186462429 39320997212 52372924858 104745849716 183305237003 366610474006 445169861293 733220948012 890339722586 1780679445172 3116189029051 6232378058102 12464756116204