Search a number
-
+
10483906932 = 22323726329927
BaseRepresentation
bin10011100001110001…
…11011100101110100
31000001122022122122100
421300320323211310
5132432340010212
64452150302100
7520541511222
oct116070734564
930048278570
1010483906932
11449a98a4a4
122047057930
13cb1029535
14716529b12
154155e7bdc
hex270e3b974

10483906932 has 72 divisors (see below), whose sum is σ = 27321630336. Its totient is φ = 3387144384.

The previous prime is 10483906907. The next prime is 10483906933. The reversal of 10483906932 is 23960938401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10483906933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335353 + ... + 365279.

It is an arithmetic number, because the mean of its divisors is an integer number (379467088).

Almost surely, 210483906932 is an apocalyptic number.

10483906932 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 10483906932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660815168).

10483906932 is an abundant number, since it is smaller than the sum of its proper divisors (16837723404).

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

10483906932 is a wasteful number, since it uses less digits than its factorization.

10483906932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30237 (or 30232 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10483906932 in words is "ten billion, four hundred eighty-three million, nine hundred six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 263 333 444 526 666 789 1052 1332 1578 2367 3156 4734 9468 9731 19462 29193 29927 38924 58386 59854 87579 89781 116772 119708 175158 179562 269343 350316 359124 538686 1077372 1107299 2214598 3321897 4429196 6643794 7870801 9965691 13287588 15741602 19931382 23612403 31483204 39862764 47224806 70837209 94449612 141674418 283348836 291219637 582439274 873658911 1164878548 1747317822 2620976733 3494635644 5241953466 10483906932