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10324344032 = 251943537451
BaseRepresentation
bin10011001110110000…
…01111110011100000
3222122112002000111022
421213120033303200
5132121013002112
64424250305012
7513563322242
oct114730176340
928575060438
1010324344032
114418906532
122001728168
13c86c5ca12
146dd272092
154065c9d72
hex26760fce0

10324344032 has 96 divisors (see below), whose sum is σ = 22309499520. Its totient is φ = 4685990400.

The previous prime is 10324344011. The next prime is 10324344047. The reversal of 10324344032 is 23044342301.

10324344032 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 = 10324343992 and 10324344010.

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, 1381907 + ... + 1389357.

It is an arithmetic number, because the mean of its divisors is an integer number (232390620).

Almost surely, 210324344032 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 10324344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154749760).

10324344032 is an abundant number, since it is smaller than the sum of its proper divisors (11985155488).

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

10324344032 is a wasteful number, since it uses less digits than its factorization.

10324344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10324344032 its reverse (23044342301), we get a palindrome (33368686333).

It can be divided in two parts, 103243 and 44032, that multiplied together give a square (4545995776 = 674242).

The spelling of 10324344032 in words is "ten billion, three hundred twenty-four million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 43 53 76 86 106 152 172 212 304 344 424 608 688 817 848 1007 1376 1634 1696 2014 2279 3268 4028 4558 6536 7451 8056 9116 13072 14902 16112 18232 26144 29804 32224 36464 43301 59608 72928 86602 119216 141569 173204 238432 283138 320393 346408 394903 566276 640786 692816 789806 1132552 1281572 1385632 1579612 2265104 2563144 3159224 4530208 5126288 6087467 6318448 7503157 10252576 12174934 12636896 15006314 16980829 24349868 30012628 33961658 48699736 60025256 67923316 97399472 120050512 135846632 194798944 240101024 271693264 322635751 543386528 645271502 1290543004 2581086008 5162172016 10324344032