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12874313400 = 23352131650553
BaseRepresentation
bin10111111110101111…
…00110111010111000
31020020020021212212020
423333113212322320
5202331311012100
65525301114440
7634015600254
oct137727467270
936206255766
1012874313400
11550723a233
1225b36b8a20
1312a2336630
148a1bad264
155053c65a0
hex2ff5e6eb8

12874313400 has 96 divisors (see below), whose sum is σ = 42980426160. Its totient is φ = 3169059840.

The previous prime is 12874313371. The next prime is 12874313407. The reversal of 12874313400 is 431347821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874313407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817477 + ... + 833076.

Almost surely, 212874313400 is an apocalyptic number.

12874313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12874313400 is an abundant number, since it is smaller than the sum of its proper divisors (30106112760).

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

12874313400 is a wasteful number, since it uses less digits than its factorization.

12874313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650585 (or 1650576 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 12874313400 in words is "twelve billion, eight hundred seventy-four million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 1650553 3301106 4951659 6602212 8252765 9903318 13204424 16505530 19806636 21457189 24758295 33011060 39613272 41263825 42914378 49516590 64371567 66022120 82527650 85828756 99033180 107285945 123791475 128743134 165055300 171657512 198066360 214571890 247582950 257486268 321857835 330110600 429143780 495165900 514972536 536429725 643715670 858287560 990331800 1072859450 1287431340 1609289175 2145718900 2574862680 3218578350 4291437800 6437156700 12874313400