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12830321473452 = 22327172994939653
BaseRepresentation
bin1011101010110100101011…
…0000001111011110101100
31200102120022011102021211100
42322231022300033132230
53140202444244122302
643142100204523100
72462650220046540
oct272551260173654
950376264367740
1012830321473452
1140a7343a9336a
121532728850490
13720b8150a112
14324dc2d51a20
15173b2d18cd1c
hexbab4ac0f7ac

12830321473452 has 72 divisors (see below), whose sum is σ = 39245689226016. Its totient is φ = 3450170479104.

The previous prime is 12830321473433. The next prime is 12830321473477. The reversal of 12830321473452 is 25437412303821.

12830321473452 is a `hidden beast` number, since 1 + 28 + 3 + 0 + 32 + 147 + 3 + 452 = 666.

It is a super-2 number, since 2×128303214734522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12830321473398 and 12830321473407.

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, 1497465543 + ... + 1497474110.

It is an arithmetic number, because the mean of its divisors is an integer number (545079017028).

Almost surely, 212830321473452 is an apocalyptic number.

12830321473452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12830321473452 is an abundant number, since it is smaller than the sum of its proper divisors (26415367752564).

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

12830321473452 is a wasteful number, since it uses less digits than its factorization.

12830321473452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994939687 (or 2994939682 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 12830321473452 in words is "twelve trillion, eight hundred thirty billion, three hundred twenty-one million, four hundred seventy-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 2994939653 5989879306 8984818959 11979758612 17969637918 20964577571 26954456877 35939275836 41929155142 50913974101 53908913754 62893732713 83858310284 101827948202 107817827508 125787465426 152741922303 188681198139 203655896404 251574930852 305483844606 356397818707 377362396278 458225766909 610967689212 712795637414 754724792556 916451533818 1069193456121 1425591274828 1832903067636 2138386912242 3207580368363 4276773824484 6415160736726 12830321473452