Search a number
-
+
12008887680496 = 247115079931727
BaseRepresentation
bin1010111011000000100101…
…1110111111110111110000
31120112001001000211001102011
42232300021132333313300
53033223200221233441
641312450135532304
72346420301031320
oct256601136776760
946461030731364
1012008887680496
11390aa3902a7a3
12141b4a022a094
13691582b04b25
142d733a117280
1515c5a3312581
hexaec097bfdf0

12008887680496 has 40 divisors (see below), whose sum is σ = 26591368043520. Its totient is φ = 5146615902144.

The previous prime is 12008887680457. The next prime is 12008887680497. The reversal of 12008887680496 is 69408678880021.

It is a Smith number, since the sum of its digits (67) 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 (12008887680497) 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, 12422985 + ... + 13354711.

It is an arithmetic number, because the mean of its divisors is an integer number (664784201088).

Almost surely, 212008887680496 is an apocalyptic number.

12008887680496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12008887680496 is an abundant number, since it is smaller than the sum of its proper divisors (14582480363024).

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

12008887680496 is a wasteful number, since it uses less digits than its factorization.

12008887680496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046821 (or 1046815 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 67.

The spelling of 12008887680496 in words is "twelve trillion, eight billion, eight hundred eighty-seven million, six hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 115079 230158 460316 805553 920632 931727 1611106 1841264 1863454 3222212 3726908 6444424 6522089 7453816 12888848 13044178 14907632 26088356 52176712 104353424 107222211433 214444422866 428888845732 750555480031 857777691464 1501110960062 1715555382928 3002221920124 6004443840248 12008887680496