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12295454940 = 223552529929
BaseRepresentation
bin10110111001101110…
…11100000011011100
31011201220001211100000
423130313130003130
5200140114024230
65352022134300
7613456433256
oct133467340334
934656054300
1012295454940
11523a51130a
122471881390
13120c430932
14848d6acd6
154be682b60
hex2dcddc0dc

12295454940 has 72 divisors (see below), whose sum is σ = 38677569840. Its totient is φ = 3278786688.

The previous prime is 12295454939. The next prime is 12295454953. The reversal of 12295454940 is 4945459221.

12295454940 is a `hidden beast` number, since 1 + 2 + 29 + 545 + 49 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1260105 + ... + 1269824.

It is an arithmetic number, because the mean of its divisors is an integer number (537188470).

Almost surely, 212295454940 is an apocalyptic number.

12295454940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12295454940 is an abundant number, since it is smaller than the sum of its proper divisors (26382114900).

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

12295454940 is a wasteful number, since it uses less digits than its factorization.

12295454940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529953 (or 2529939 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12295454940 in words is "twelve billion, two hundred ninety-five million, four hundred fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 2529929 5059858 7589787 10119716 12649645 15179574 22769361 25299290 30359148 37948935 45538722 50598580 68308083 75897870 91077444 113846805 136616166 151795740 204924249 227693610 273232332 341540415 409848498 455387220 614772747 683080830 819696996 1024621245 1229545494 1366161660 2049242490 2459090988 3073863735 4098484980 6147727470 12295454940