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12249086940 = 22325641106163
BaseRepresentation
bin10110110100001101…
…00011101111011100
31011121122211002101200
423122012203233130
5200041231240230
65343244235500
7612354343506
oct133206435734
934548732350
1012249086940
115216321352
12245a23bb90
13120294774c
14842b3ad76
154ba574160
hex2da1a3bdc

12249086940 has 72 divisors (see below), whose sum is σ = 37213879248. Its totient is φ = 3261296640.

The previous prime is 12249086929. The next prime is 12249086951. The reversal of 12249086940 is 4968094221.

It is an interprime number because it is at equal distance from previous prime (12249086929) and next prime (12249086951).

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, 62299 + ... + 168461.

It is an arithmetic number, because the mean of its divisors is an integer number (516859434).

Almost surely, 212249086940 is an apocalyptic number.

12249086940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12249086940 is an abundant number, since it is smaller than the sum of its proper divisors (24964792308).

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

12249086940 is a wasteful number, since it uses less digits than its factorization.

12249086940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106819 (or 106814 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12249086940 in words is "twelve billion, two hundred forty-nine million, eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 641 1282 1923 2564 3205 3846 5769 6410 7692 9615 11538 12820 19230 23076 28845 38460 57690 106163 115380 212326 318489 424652 530815 636978 955467 1061630 1273956 1592445 1910934 2123260 3184890 3821868 4777335 6369780 9554670 19109340 68050483 136100966 204151449 272201932 340252415 408302898 612454347 680504830 816605796 1020757245 1224908694 1361009660 2041514490 2449817388 3062271735 4083028980 6124543470 12249086940