Search a number
-
+
12115175772 = 2237413739431
BaseRepresentation
bin10110100100001111…
…01110100101011100
31011021022211200210210
423102013232211130
5144302441111042
65322102132420
7606140203110
oct132207564534
934238750723
1012115175772
115157778967
122421421110
1311b0c8c97b
1482d03d740
154ad921a9c
hex2d21ee95c

12115175772 has 96 divisors (see below), whose sum is σ = 33187359744. Its totient is φ = 3367641600.

The previous prime is 12115175747. The next prime is 12115175797. The reversal of 12115175772 is 27757151121.

It is an interprime number because it is at equal distance from previous prime (12115175747) and next prime (12115175797).

It is a self number, because there is not a number n which added to its sum of digits gives 12115175772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279897 + ... + 1289327.

It is an arithmetic number, because the mean of its divisors is an integer number (345701664).

Almost surely, 212115175772 is an apocalyptic number.

12115175772 is a gapful number since it is divisible by the number (12) 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 12115175772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593679872).

12115175772 is an abundant number, since it is smaller than the sum of its proper divisors (21072183972).

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

12115175772 is a wasteful number, since it uses less digits than its factorization.

12115175772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9859 (or 9857 counting only the distinct ones).

The product of its digits is 34300, while the sum is 39.

The spelling of 12115175772 in words is "twelve billion, one hundred fifteen million, one hundred seventy-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 373 492 574 746 861 1119 1148 1492 1722 2238 2611 3444 4476 5222 7833 9431 10444 15293 15666 18862 28293 30586 31332 37724 45879 56586 61172 66017 91758 107051 113172 132034 183516 198051 214102 264068 321153 386671 396102 428204 642306 773342 792204 1160013 1284612 1546684 2320026 2706697 3517763 4640052 5413394 7035526 8120091 10553289 10826788 14071052 16240182 21106578 24624341 32480364 42213156 49248682 73873023 98497364 144228283 147746046 288456566 295492092 432684849 576913132 865369698 1009597981 1730739396 2019195962 3028793943 4038391924 6057587886 12115175772