Search a number
-
+
10325634032 = 247439192333
BaseRepresentation
bin10011001110111010…
…01010101111110000
3222122121111120001002
421213131022233300
5132121330242112
64424334101132
7513610304210
oct114735125760
928577446032
1010325634032
11441960774a
12200204a7a8
13c872c1c2c
146dd4ca240
154067821c2
hex26774abf0

10325634032 has 80 divisors (see below), whose sum is σ = 23431119360. Its totient is φ = 4315804416.

The previous prime is 10325634031. The next prime is 10325634049. The reversal of 10325634032 is 23043652301.

It is a junction number, because it is equal to n+sod(n) for n = 10325633986 and 10325634004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10325634031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4424738 + ... + 4427070.

It is an arithmetic number, because the mean of its divisors is an integer number (292888992).

Almost surely, 210325634032 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 10325634032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11715559680).

10325634032 is an abundant number, since it is smaller than the sum of its proper divisors (13105485328).

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

10325634032 is a wasteful number, since it uses less digits than its factorization.

10325634032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The spelling of 10325634032 in words is "ten billion, three hundred twenty-five million, six hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 919 1204 1838 2333 2408 3676 4666 4816 6433 7352 9332 12866 14704 16331 18664 25732 32662 37328 39517 51464 65324 79034 100319 102928 130648 158068 200638 261296 276619 316136 401276 553238 632272 702233 802552 1106476 1404466 1605104 2144027 2212952 2808932 4288054 4425904 5617864 8576108 11235728 15008189 17152216 30016378 34304432 60032756 92193161 120065512 184386322 240131024 368772644 645352127 737545288 1290704254 1475090576 2581408508 5162817016 10325634032