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12353083400 = 2352714959219
BaseRepresentation
bin10111000000100110…
…10001100000001000
31011212220111122201102
423200103101200020
5200244342132100
65401441240532
7615056322260
oct134023214010
934786448642
1012353083400
115269aa2439
122489033148
13121b35a308
1485288c7a0
154c4767cd5
hex2e04d1808

12353083400 has 96 divisors (see below), whose sum is σ = 33044760000. Its totient is φ = 4206846720.

The previous prime is 12353083373. The next prime is 12353083411. The reversal of 12353083400 is 438035321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178991 + ... + 238209.

It is an arithmetic number, because the mean of its divisors is an integer number (344216250).

Almost surely, 212353083400 is an apocalyptic number.

12353083400 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 12353083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522380000).

12353083400 is an abundant number, since it is smaller than the sum of its proper divisors (20691676600).

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

12353083400 is a wasteful number, since it uses less digits than its factorization.

12353083400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59391 (or 59382 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 12353083400 in words is "twelve billion, three hundred fifty-three million, eighty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 149 175 200 280 298 350 596 700 745 1043 1192 1400 1490 2086 2980 3725 4172 5215 5960 7450 8344 10430 14900 20860 26075 29800 41720 52150 59219 104300 118438 208600 236876 296095 414533 473752 592190 829066 1184380 1480475 1658132 2072665 2368760 2960950 3316264 4145330 5921900 8290660 8823631 10363325 11843800 16581320 17647262 20726650 35294524 41453300 44118155 61765417 70589048 82906600 88236310 123530834 176472620 220590775 247061668 308827085 352945240 441181550 494123336 617654170 882363100 1235308340 1544135425 1764726200 2470616680 3088270850 6176541700 12353083400