Search a number
-
+
9861873012 = 22331943111767
BaseRepresentation
bin10010010111101000…
…00011110101110100
3221110021212001112000
421023310003311310
5130144114414022
64310330055300
7466246352235
oct111364036564
927407761460
109861873012
114200852182
121ab287a530
13c121b7824
14697a8908c
153cabc66ac
hex24bd03d74

9861873012 has 96 divisors (see below), whose sum is σ = 27539635200. Its totient is φ = 3041823456.

The previous prime is 9861872987. The next prime is 9861873017. The reversal of 9861873012 is 2103781689.

9861873012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9861873017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32353 + ... + 144119.

It is an arithmetic number, because the mean of its divisors is an integer number (286871200).

Almost surely, 29861873012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9861873012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769817600).

9861873012 is an abundant number, since it is smaller than the sum of its proper divisors (17677762188).

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

9861873012 is a wasteful number, since it uses less digits than its factorization.

9861873012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111842 (or 111834 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9861873012 is about 99306.9635624814. The cubic root of 9861873012 is about 2144.4691453697.

The spelling of 9861873012 in words is "nine billion, eight hundred sixty-one million, eight hundred seventy-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 76 86 108 114 129 171 172 228 258 342 387 513 516 684 774 817 1026 1161 1548 1634 2052 2322 2451 3268 4644 4902 7353 9804 14706 22059 29412 44118 88236 111767 223534 335301 447068 670602 1005903 1341204 2011806 2123573 3017709 4023612 4247146 4805981 6035418 6370719 8494292 9611962 12070836 12741438 14417943 19112157 19223924 25482876 28835886 38224314 43253829 57336471 57671772 76448628 86507658 91313639 114672942 129761487 173015316 182627278 229345884 259522974 273940917 365254556 519045948 547881834 821822751 1095763668 1643645502 2465468253 3287291004 4930936506 9861873012