Search a number
-
+
12861212850 = 23252263271401
BaseRepresentation
bin10111111101001011…
…01000100010110010
31020012022122022021200
423332211220202302
5202314432302400
65524112232030
7633466335243
oct137645504262
936168568250
1012861212850
1154aa901632
1225ab23b616
13129c6ca725
148a015ccca
15504189b00
hex2fe9688b2

12861212850 has 144 divisors (see below), whose sum is σ = 34899980544. Its totient is φ = 3395520000.

The previous prime is 12861212849. The next prime is 12861212873. The reversal of 12861212850 is 5821216821.

12861212850 is a `hidden beast` number, since 1 + 28 + 612 + 12 + 8 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32072650 + ... + 32073050.

It is an arithmetic number, because the mean of its divisors is an integer number (242360976).

Almost surely, 212861212850 is an apocalyptic number.

12861212850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12861212850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17449990272).

12861212850 is an abundant number, since it is smaller than the sum of its proper divisors (22038767694).

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

12861212850 is a wasteful number, since it uses less digits than its factorization.

12861212850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 12861212850 in words is "twelve billion, eight hundred sixty-one million, two hundred twelve thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 263 271 401 450 526 542 789 802 813 1203 1315 1355 1578 1626 2005 2367 2406 2439 2630 2710 3609 3945 4010 4065 4734 4878 6015 6575 6775 7218 7890 8130 10025 11835 12030 12195 13150 13550 18045 19725 20050 20325 23670 24390 30075 36090 39450 40650 59175 60150 60975 71273 90225 105463 108671 118350 121950 142546 180450 210926 213819 217342 316389 326013 356365 427638 527315 543355 632778 641457 652026 712730 949167 978039 1054630 1069095 1086710 1282914 1581945 1630065 1781825 1898334 1956078 2138190 2636575 2716775 3163890 3207285 3260130 3563650 4745835 4890195 5273150 5345475 5433550 6414570 7909725 8150325 9491670 9780390 10690950 15819450 16036425 16300650 23729175 24450975 28580473 32072850 47458350 48901950 57160946 85741419 142902365 171482838 257224257 285804730 428707095 514448514 714511825 857414190 1286121285 1429023650 2143535475 2572242570 4287070950 6430606425 12861212850