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12858058080 = 2532571275601
BaseRepresentation
bin10111111100110011…
…00110010101100000
31020012002201000202100
423332121212111200
5202313130324310
65523520450400
7633430455540
oct137631462540
936162630670
1012858058080
1154a904738a
1225aa179a00
13129bb647ba
1489d97b320
15503c64ec0
hex2fe666560

12858058080 has 144 divisors (see below), whose sum is σ = 50146465824. Its totient is φ = 2938982400.

The previous prime is 12858058079. The next prime is 12858058099. The reversal of 12858058080 is 8085085821.

12858058080 is a `hidden beast` number, since 12 + 8 + 58 + 0 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627721 + ... + 647880.

It is an arithmetic number, because the mean of its divisors is an integer number (348239346).

Almost surely, 212858058080 is an apocalyptic number.

12858058080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12858058080 is an abundant number, since it is smaller than the sum of its proper divisors (37288407744).

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

12858058080 is a wasteful number, since it uses less digits than its factorization.

12858058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275629 (or 1275618 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 12858058080 in words is "twelve billion, eight hundred fifty-eight million, fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 1275601 2551202 3826803 5102404 6378005 7653606 8929207 10204808 11480409 12756010 15307212 17858414 19134015 20409616 22960818 25512020 26787621 30614424 35716828 38268030 40819232 44646035 45921636 51024040 53575242 57402045 61228848 71433656 76536060 80362863 89292070 91843272 102048080 107150484 114804090 122457696 133938105 142867312 153072120 160725726 178584140 183686544 204096160 214300968 229608180 267876210 285734624 306144240 321451452 357168280 367373088 401814315 428601936 459216360 535752420 612288480 642902904 714336560 803628630 857203872 918432720 1071504840 1285805808 1428673120 1607257260 1836865440 2143009680 2571611616 3214514520 4286019360 6429029040 12858058080