Search a number
-
+
12915238555008 = 27351973299371
BaseRepresentation
bin1011101111110001000000…
…1101001100110110000000
31200201200111011212222200000
42323330100031030312000
53143100402032230013
643245102332400000
72502044436246066
oct273742015146600
950650434788600
1012915238555008
11412a35a512609
121547087316000
13728b9525ac3a
1432915ab66036
15175e4d184973
hexbbf1034cd80

12915238555008 has 384 divisors, whose sum is σ = 41125809379200. Its totient is φ = 4022613135360.

The previous prime is 12915238555003. The next prime is 12915238555031. The reversal of 12915238555008 is 80055583251921.

12915238555008 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 5 + 2 + 3 + 85 + 550 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12915238555003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42991563 + ... + 43290933.

It is an arithmetic number, because the mean of its divisors is an integer number (107098461925).

Almost surely, 212915238555008 is an apocalyptic number.

12915238555008 is a gapful number since it is divisible by the number (18) 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 12915238555008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562904689600).

12915238555008 is an abundant number, since it is smaller than the sum of its proper divisors (28210570824192).

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

12915238555008 is an equidigital number, since it uses as much as digits as its factorization.

12915238555008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299492 (or 299468 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 12915238555008 in words is "twelve trillion, nine hundred fifteen billion, two hundred thirty-eight million, five hundred fifty-five thousand, eight".