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4432120116 = 2231747503919
BaseRepresentation
bin1000010000010110…
…01100100100110100
3102102212211000210220
410020023030210310
533034110320431
62011443414340
7214555253664
oct41013144464
912385730726
104432120116
1119748a8496
12a383843b0
135582caca8
143008ba1a4
151ae180b96
hex1082cc934

4432120116 has 96 divisors (see below), whose sum is σ = 11217346560. Its totient is φ = 1356701184.

The previous prime is 4432120111. The next prime is 4432120157. The reversal of 4432120116 is 6110212344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432120111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4822305 + ... + 4823223.

It is an arithmetic number, because the mean of its divisors is an integer number (116847360).

Almost surely, 24432120116 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 4432120116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608673280).

4432120116 is an abundant number, since it is smaller than the sum of its proper divisors (6785226444).

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

4432120116 is a wasteful number, since it uses less digits than its factorization.

4432120116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4432120116 is about 66574.1700361334. The cubic root of 4432120116 is about 1642.6202556231.

The spelling of 4432120116 in words is "four billion, four hundred thirty-two million, one hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 503 564 799 919 1006 1509 1598 1838 2012 2397 2757 3018 3196 3676 4794 5514 6036 8551 9588 11028 15623 17102 23641 25653 31246 34204 43193 46869 47282 51306 62492 70923 86386 93738 94564 102612 129579 141846 172772 187476 259158 283692 401897 462257 518316 734281 803794 924514 1205691 1386771 1468562 1607588 1849028 2202843 2411382 2773542 2937124 4405686 4822764 5547084 7858369 8811372 15716738 21726079 23575107 31433476 43452158 47150214 65178237 86904316 94300428 130356474 260712948 369343343 738686686 1108030029 1477373372 2216060058 4432120116