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12352825620 = 2234547915919
BaseRepresentation
bin10111000000100100…
…10010100100010100
31011212220000120010000
423200102102210110
5200244310404440
65401431531300
7615054166602
oct134022224424
934786016100
1012352825620
1152699367a3
122488b29b30
13121b299b95
14852822872
154c4716730
hex2e0492914

12352825620 has 120 divisors (see below), whose sum is σ = 38834611200. Its totient is φ = 3287003328.

The previous prime is 12352825601. The next prime is 12352825631. The reversal of 12352825620 is 2652825321.

It is a happy number.

12352825620 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 2 + 8 + 25 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 768021 + ... + 783939.

It is an arithmetic number, because the mean of its divisors is an integer number (323621760).

Almost surely, 212352825620 is an apocalyptic number.

12352825620 is a gapful number since it is divisible by the number (10) 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 12352825620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417305600).

12352825620 is an abundant number, since it is smaller than the sum of its proper divisors (26481785580).

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

12352825620 is a wasteful number, since it uses less digits than its factorization.

12352825620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16419 (or 16408 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12352825620 in words is "twelve billion, three hundred fifty-two million, eight hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 479 540 810 958 1437 1620 1916 2395 2874 4311 4790 5748 7185 8622 9580 12933 14370 15919 17244 21555 25866 28740 31838 38799 43110 47757 51732 63676 64665 77598 79595 86220 95514 129330 143271 155196 159190 191028 193995 238785 258660 286542 318380 387990 429813 477570 573084 716355 775980 859626 955140 1289439 1432710 1719252 2149065 2578878 2865420 4298130 5157756 6447195 7625201 8596260 12894390 15250402 22875603 25788780 30500804 38126005 45751206 68626809 76252010 91502412 114378015 137253618 152504020 205880427 228756030 274507236 343134045 411760854 457512060 617641281 686268090 823521708 1029402135 1235282562 1372536180 2058804270 2470565124 3088206405 4117608540 6176412810 12352825620