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12681994350 = 2352297339937
BaseRepresentation
bin10111100111110011…
…11110000001101110
31012201211102001201110
423303321332001232
5201433042304400
65454231052450
7626162113314
oct136371760156
935654361643
1012681994350
115418723073
12255b211126
13127153b48c
1488442a0b4
154e3587e50
hex2f3e7e06e

12681994350 has 96 divisors (see below), whose sum is σ = 32982397920. Its totient is φ = 3220439040.

The previous prime is 12681994337. The next prime is 12681994397. The reversal of 12681994350 is 5349918621.

It is a self number, because there is not a number n which added to its sum of digits gives 12681994350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297582 + ... + 337518.

It is an arithmetic number, because the mean of its divisors is an integer number (343566645).

Almost surely, 212681994350 is an apocalyptic number.

12681994350 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 12681994350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16491198960).

12681994350 is an abundant number, since it is smaller than the sum of its proper divisors (20300403570).

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

12681994350 is a wasteful number, since it uses less digits than its factorization.

12681994350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40054 (or 40049 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 12681994350 in words is "twelve billion, six hundred eighty-one million, nine hundred ninety-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 73 75 87 145 146 150 174 219 290 365 435 438 725 730 870 1095 1450 1825 2117 2175 2190 3650 4234 4350 5475 6351 10585 10950 12702 21170 31755 39937 52925 63510 79874 105850 119811 158775 199685 239622 317550 399370 599055 998425 1158173 1198110 1996850 2316346 2915401 2995275 3474519 5790865 5830802 5990550 6949038 8746203 11581730 14577005 17372595 17492406 28954325 29154010 34745190 43731015 57908650 72885025 84546629 86862975 87462030 145770050 169093258 173725950 218655075 253639887 422733145 437310150 507279774 845466290 1268199435 2113665725 2536398870 4227331450 6340997175 12681994350