Search a number
-
+
12576520000 = 265411101283
BaseRepresentation
bin10111011011001111…
…00111011101000000
31012110110221102010001
423231213213131000
5201224042120000
65435542245344
7623441441032
oct135547473500
935413842101
1012576520000
115374132690
12252ba26854
13125572c015
14874411c52
154d91a146a
hex2ed9e7740

12576520000 has 280 divisors, whose sum is σ = 34478988192. Its totient is φ = 4512000000.

The previous prime is 12576519973. The next prime is 12576520009. The reversal of 12576520000 is 2567521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12576520009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44439859 + ... + 44440141.

Almost surely, 212576520000 is an apocalyptic number.

12576520000 is a gapful number since it is divisible by the number (10) 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 12576520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239494096).

12576520000 is an abundant number, since it is smaller than the sum of its proper divisors (21902468192).

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

12576520000 is a wasteful number, since it uses less digits than its factorization.

12576520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 12576520000 in words is "twelve billion, five hundred seventy-six million, five hundred twenty thousand".