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12087699160 = 235736736151
BaseRepresentation
bin10110100000111101…
…11010011011011000
31011012102010201222111
423100132322123120
5144223422333120
65315241202104
7605354514265
oct132036723330
934172121874
1012087699160
115143211319
122414190334
1311a838c414
1482952a26c
154ab2e575a
hex2d07ba6d8

12087699160 has 64 divisors (see below), whose sum is σ = 27615343680. Its totient is φ = 4760985600.

The previous prime is 12087699137. The next prime is 12087699161. The reversal of 12087699160 is 6199678021.

It is a super-2 number, since 2×120876991602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12087699161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962085 + ... + 1968235.

It is an arithmetic number, because the mean of its divisors is an integer number (431489745).

Almost surely, 212087699160 is an apocalyptic number.

12087699160 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 12087699160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807671840).

12087699160 is an abundant number, since it is smaller than the sum of its proper divisors (15527644520).

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

12087699160 is a wasteful number, since it uses less digits than its factorization.

12087699160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 12087699160 in words is "twelve billion, eighty-seven million, six hundred ninety-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 673 730 1346 1460 2692 2920 3365 5384 6151 6730 12302 13460 24604 26920 30755 49129 49208 61510 98258 123020 196516 245645 246040 393032 449023 491290 898046 982580 1796092 1965160 2245115 3592184 4139623 4490230 8279246 8980460 16558492 17960920 20698115 33116984 41396230 82792460 165584920 302192479 604384958 1208769916 1510962395 2417539832 3021924790 6043849580 12087699160