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10044238032 = 243336763353
BaseRepresentation
bin10010101101010111…
…01110100011010000
3221221000000011022000
421112223232203100
5131032311104112
64340402514000
7503622420543
oct112653564320
927830004260
1010044238032
11429478a774
121b43965900
13c40c0901a
146b3d9a85a
153dbbea7dc
hex256aee8d0

10044238032 has 80 divisors (see below), whose sum is σ = 28909697280. Its totient is φ = 3338903808.

The previous prime is 10044238019. The next prime is 10044238079. The reversal of 10044238032 is 23083244001.

10044238032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10044237987 and 10044238005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 126868 + ... + 190220.

It is an arithmetic number, because the mean of its divisors is an integer number (361371216).

Almost surely, 210044238032 is an apocalyptic number.

10044238032 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 10044238032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454848640).

10044238032 is an abundant number, since it is smaller than the sum of its proper divisors (18865459248).

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

10044238032 is a wasteful number, since it uses less digits than its factorization.

10044238032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63737 (or 63725 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10044238032 in words is "ten billion, forty-four million, two hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 367 432 734 1101 1468 2202 2936 3303 4404 5872 6606 8808 9909 13212 17616 19818 26424 39636 52848 63353 79272 126706 158544 190059 253412 380118 506824 570177 760236 1013648 1140354 1520472 1710531 2280708 3040944 3421062 4561416 6842124 9122832 13684248 23250551 27368496 46501102 69751653 93002204 139503306 186004408 209254959 279006612 372008816 418509918 558013224 627764877 837019836 1116026448 1255529754 1674039672 2511059508 3348079344 5022119016 10044238032