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12787439551216 = 2411509142742449
BaseRepresentation
bin1011101000010100111011…
…0010101100001011110000
31200021110121122111221020021
42322011032302230023300
53134002134011114331
643110245120253224
72456601446530231
oct272051662541360
950243548457207
1012787439551216
114090139293510
12152635b771214
13719b09376335
14322cb5b17088
1517296d688211
hexba14ecac2f0

12787439551216 has 40 divisors (see below), whose sum is σ = 27081097614000. Its totient is φ = 5801053086720.

The previous prime is 12787439551123. The next prime is 12787439551217. The reversal of 12787439551216 is 61215593478721.

It is a happy number.

It is a super-2 number, since 2×127874395512162 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12787439551217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71281641 + ... + 71460808.

It is an arithmetic number, because the mean of its divisors is an integer number (677027440350).

Almost surely, 212787439551216 is an apocalyptic number.

12787439551216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12787439551216 is an abundant number, since it is smaller than the sum of its proper divisors (14293658062784).

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

12787439551216 is a wasteful number, since it uses less digits than its factorization.

12787439551216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142742977 (or 142742971 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 61.

The spelling of 12787439551216 in words is "twelve trillion, seven hundred eighty-seven billion, four hundred thirty-nine million, five hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 509 1018 2036 4072 5599 8144 11198 22396 44792 89584 142742449 285484898 570969796 1141939592 1570166939 2283879184 3140333878 6280667756 12561335512 25122671024 72655906541 145311813082 290623626164 581247252328 799214971951 1162494504656 1598429943902 3196859887804 6393719775608 12787439551216