Search a number
-
+
10324655632 = 2419295472141
BaseRepresentation
bin10011001110110010…
…11011111000010000
3222122112122211221001
421213121123320100
5132121102440012
64424301111344
7513566060554
oct114731337020
928575584831
1010324655632
114418aa9655
122001858554
13c8703b7b5
146dd313864
1540663c357
hex26765be10

10324655632 has 80 divisors (see below), whose sum is σ = 21832977600. Its totient is φ = 4711150080.

The previous prime is 10324655609. The next prime is 10324655669. The reversal of 10324655632 is 23655642301.

10324655632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10324655591 and 10324655600.

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, 4821282 + ... + 4823422.

It is an arithmetic number, because the mean of its divisors is an integer number (272912220).

Almost surely, 210324655632 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 10324655632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916488800).

10324655632 is an abundant number, since it is smaller than the sum of its proper divisors (11508321968).

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

10324655632 is a wasteful number, since it uses less digits than its factorization.

10324655632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 10324655632 in words is "ten billion, three hundred twenty-four million, six hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 547 551 1094 1102 2141 2188 2204 4282 4376 4408 8564 8752 8816 10393 15863 17128 20786 31726 34256 40679 41572 62089 63452 81358 83144 124178 126904 162716 166288 248356 253808 301397 325432 496712 602794 650864 993424 1171127 1179691 1205588 2342254 2359382 2411176 4684508 4718764 4822352 9369016 9437528 18738032 18875056 22251413 33962683 44502826 67925366 89005652 135850732 178011304 271701464 356022608 543402928 645290977 1290581954 2581163908 5162327816 10324655632