Search a number
-
+
2327116032126 = 232313631165449
BaseRepresentation
bin100001110111010010111…
…011001010100001111110
322020110200201101000220100
4201313102323022201332
5301111413201012001
64541021244501530
7330062050620564
oct41672273124176
98213621330810
102327116032126
11817a19372396
1231701654a8a6
1313b5a510b6b2
14808c0dd9a34
1540800ee1586
hex21dd2eca87e

2327116032126 has 48 divisors (see below), whose sum is σ = 5059072418400. Its totient is φ = 773092719360.

The previous prime is 2327116032121. The next prime is 2327116032127. The reversal of 2327116032126 is 6212306117232.

2327116032126 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 1 + 1 + 603 + 21 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2327116032121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35523450 + ... + 35588898.

It is an arithmetic number, because the mean of its divisors is an integer number (105397342050).

Almost surely, 22327116032126 is an apocalyptic number.

2327116032126 is an abundant number, since it is smaller than the sum of its proper divisors (2731956386274).

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

2327116032126 is a wasteful number, since it uses less digits than its factorization.

2327116032126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72081 (or 72078 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2327116032126 in words is "two trillion, three hundred twenty-seven billion, one hundred sixteen million, thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 313 626 939 1878 2817 5634 6311 12622 18933 37866 56799 65449 113598 130898 196347 392694 589041 1178082 1975343 3950686 5926029 11852058 17778087 20485537 35556174 40971074 61456611 122913222 184369833 368739666 413048639 826097278 1239145917 2478291834 3717437751 7434875502 129284224007 258568448014 387852672021 775705344042 1163558016063 2327116032126