Search a number
-
+
12391924644 = 22341110333757
BaseRepresentation
bin10111000101001110…
…11100001110100100
31011222121120222220000
423202213130032210
5200334313042034
65405345541300
7616040423121
oct134247341644
934877528800
1012391924644
115289a11440
12249a044830
1312264095b8
14857abd748
154c7d8b599
hex2e29dc3a4

12391924644 has 120 divisors (see below), whose sum is σ = 35684096448. Its totient is φ = 3718560960.

The previous prime is 12391924627. The next prime is 12391924667. The reversal of 12391924644 is 44642919321.

12391924644 is a `hidden beast` number, since 12 + 3 + 91 + 92 + 464 + 4 = 666.

12391924644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12391924644.

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 39 ways as a sum of consecutive naturals, for example, 350214 + ... + 383970.

Almost surely, 212391924644 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 12391924644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17842048224).

12391924644 is an abundant number, since it is smaller than the sum of its proper divisors (23292171804).

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

12391924644 is a wasteful number, since it uses less digits than its factorization.

12391924644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33887 (or 33876 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12391924644 in words is "twelve billion, three hundred ninety-one million, nine hundred twenty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 103 108 132 162 198 206 297 309 324 396 412 594 618 891 927 1133 1188 1236 1782 1854 2266 2781 3399 3564 3708 4532 5562 6798 8343 10197 11124 13596 16686 20394 30591 33372 33757 40788 61182 67514 91773 101271 122364 135028 183546 202542 303813 367092 371327 405084 607626 742654 911439 1113981 1215252 1485308 1822878 2227962 2734317 3341943 3476971 3645756 4455924 5468634 6683886 6953942 10025829 10430913 10937268 13367772 13907884 20051658 20861826 30077487 31292739 38246681 40103316 41723652 60154974 62585478 76493362 93878217 114740043 120309948 125170956 152986724 187756434 229480086 281634651 344220129 375512868 458960172 563269302 688440258 1032660387 1126538604 1376880516 2065320774 3097981161 4130641548 6195962322 12391924644