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12855344850 = 23252145319661
BaseRepresentation
bin10111111100011110…
…01111111011010010
31020011220121011220100
423332033033323102
5202311432013400
65523342353230
7633365425335
oct137617177322
936156534810
1012855344850
1154a7563947
1225a928b816
13129b42483a
1489d47261c
155038cb100
hex2fe3cfed2

12855344850 has 72 divisors (see below), whose sum is σ = 34563554532. Its totient is φ = 3425558400.

The previous prime is 12855344753. The next prime is 12855344863. The reversal of 12855344850 is 5844355821.

12855344850 is a `hidden beast` number, since 1 + 2 + 8 + 553 + 4 + 48 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8931951081 + 3923393769 = 94509^2 + 62637^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12855344796 and 12855344805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 644020 + ... + 663680.

Almost surely, 212855344850 is an apocalyptic number.

12855344850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12855344850 is an abundant number, since it is smaller than the sum of its proper divisors (21708209682).

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

12855344850 is a wasteful number, since it uses less digits than its factorization.

12855344850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132 (or 21124 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 12855344850 in words is "twelve billion, eight hundred fifty-five million, three hundred forty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1453 2906 4359 7265 8718 13077 14530 19661 21795 26154 36325 39322 43590 58983 65385 72650 98305 108975 117966 130770 176949 196610 217950 294915 326925 353898 491525 589830 653850 884745 983050 1474575 1769490 2949150 4423725 8847450 28567433 57134866 85702299 142837165 171404598 257106897 285674330 428511495 514213794 714185825 857022990 1285534485 1428371650 2142557475 2571068970 4285114950 6427672425 12855344850