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12853248912 = 243376763439
BaseRepresentation
bin10111111100001110…
…10000001110010000
31020011202122200211000
423332013100032100
5202310412431122
65523225422000
7633341545620
oct137607201620
936152580730
1012853248912
1154a6362169
1225a863a900
13129ab6c83a
1489d088880
155036150ac
hex2fe1d0390

12853248912 has 160 divisors (see below), whose sum is σ = 42794086400. Its totient is φ = 3617488512.

The previous prime is 12853248911. The next prime is 12853249027. The reversal of 12853248912 is 21984235821.

12853248912 is a `hidden beast` number, since 1 + 28 + 532 + 4 + 8 + 91 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12853248911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170889 + ... + 234327.

It is an arithmetic number, because the mean of its divisors is an integer number (267463040).

Almost surely, 212853248912 is an apocalyptic number.

12853248912 is a gapful number since it is divisible by the number (12) 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 12853248912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21397043200).

12853248912 is an abundant number, since it is smaller than the sum of its proper divisors (29940837488).

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

12853248912 is a wasteful number, since it uses less digits than its factorization.

12853248912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63530 (or 63518 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 12853248912 in words is "twelve billion, eight hundred fifty-three million, two hundred forty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 67 72 84 108 112 126 134 144 168 189 201 216 252 268 336 378 402 432 469 504 536 603 756 804 938 1008 1072 1206 1407 1512 1608 1809 1876 2412 2814 3024 3216 3618 3752 4221 4824 5628 7236 7504 8442 9648 11256 12663 14472 16884 22512 25326 28944 33768 50652 63439 67536 101304 126878 190317 202608 253756 380634 444073 507512 570951 761268 888146 1015024 1141902 1332219 1522536 1712853 1776292 2283804 2664438 3045072 3425706 3552584 3996657 4250413 4567608 5328876 6851412 7105168 7993314 8500826 9135216 10657752 11989971 12751239 13702824 15986628 17001652 21315504 23979942 25502478 27405648 29752891 31973256 34003304 38253717 47959884 51004956 59505782 63946512 68006608 76507434 89258673 95919768 102009912 114761151 119011564 153014868 178517346 191839536 204019824 229522302 238023128 267776019 306029736 357034692 459044604 476046256 535552038 612059472 714069384 803328057 918089208 1071104076 1428138768 1606656114 1836178416 2142208152 3213312228 4284416304 6426624456 12853248912