Search a number
-
+
112954935384 = 23324160163667
BaseRepresentation
bin110100100110010100…
…0111000100001011000
3101210120000122020200100
41221030220320201120
53322312430413014
6123520224135400
711106062052264
oct1511450704130
9353500566610
10112954935384
11439a4130875
1219a84467560
13a861763595
1456778190a4
152e11739009
hex1a4ca38858

112954935384 has 96 divisors (see below), whose sum is σ = 313907433840. Its totient is φ = 36671616000.

The previous prime is 112954935361. The next prime is 112954935389. The reversal of 112954935384 is 483539459211.

112954935384 is a `hidden beast` number, since 1 + 1 + 29 + 5 + 493 + 53 + 84 = 666.

It is a super-3 number, since 3×1129549353843 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112954935384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112954935389) 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, 1742319 + ... + 1805985.

Almost surely, 2112954935384 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 112954935384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156953716920).

112954935384 is an abundant number, since it is smaller than the sum of its proper divisors (200952498456).

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

112954935384 is a wasteful number, since it uses less digits than its factorization.

112954935384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64321 (or 64314 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 112954935384 in words is "one hundred twelve billion, nine hundred fifty-four million, nine hundred thirty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 601 738 984 1202 1476 1803 2404 2952 3606 4808 5409 7212 10818 14424 21636 24641 43272 49282 63667 73923 98564 127334 147846 191001 197128 221769 254668 295692 382002 443538 509336 573003 591384 764004 887076 1146006 1528008 1774152 2292012 2610347 4584024 5220694 7831041 10441388 15662082 20882776 23493123 31324164 38263867 46986246 62648328 76527734 93972492 114791601 153055468 187944984 229583202 306110936 344374803 459166404 688749606 918332808 1377499212 1568818547 2754998424 3137637094 4706455641 6275274188 9412911282 12550548376 14119366923 18825822564 28238733846 37651645128 56477467692 112954935384