Search a number
-
+
12442393267810 = 2511373057099083
BaseRepresentation
bin1011010100001111100001…
…1011100100111001100010
31122001110222210001121112021
42311003320123210321202
53112324010134032220
642243542341052054
72422635050521342
oct265037033447142
948043883047467
1012442393267810
113a67875699820
12148b5043b702a
136c340ab7ca7c
14310302138d22
151689c64974aa
hexb50f86e4e62

12442393267810 has 32 divisors (see below), whose sum is σ = 25092669281472. Its totient is φ = 4402222678080.

The previous prime is 12442393267789. The next prime is 12442393267841. The reversal of 12442393267810 is 1876239324421.

12442393267810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124423932678102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528545472 + ... + 1528553611.

It is an arithmetic number, because the mean of its divisors is an integer number (784145915046).

Almost surely, 212442393267810 is an apocalyptic number.

12442393267810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12442393267810 is an abundant number, since it is smaller than the sum of its proper divisors (12650276013662).

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

12442393267810 is a wasteful number, since it uses less digits than its factorization.

12442393267810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057099138.

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 12442393267810 in words is "twelve trillion, four hundred forty-two billion, three hundred ninety-three million, two hundred sixty-seven thousand, eight hundred ten".

Divisors: 1 2 5 10 11 22 37 55 74 110 185 370 407 814 2035 4070 3057099083 6114198166 15285495415 30570990830 33628089913 67256179826 113112666071 168140449565 226225332142 336280899130 565563330355 1131126660710 1244239326781 2488478653562 6221196633905 12442393267810