Search a number
-
+
15151650016 = 2519231736263
BaseRepresentation
bin11100001110001101…
…11101010011100000
31110002221111120101211
432013012331103200
5222012310300031
610543252235504
71044320620516
oct160706752340
943087446354
1015151650016
116475790a08
122b2a30bb94
1315760a4ca9
14a3a41c4b6
155da2bcbb1
hex3871bd4e0

15151650016 has 96 divisors (see below), whose sum is σ = 32959664640. Its totient is φ = 6824277504.

The previous prime is 15151650011. The next prime is 15151650029. The reversal of 15151650016 is 61005615151.

15151650016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15151650016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15151650011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2416101 + ... + 2422363.

It is an arithmetic number, because the mean of its divisors is an integer number (343329840).

Almost surely, 215151650016 is an apocalyptic number.

15151650016 is a gapful number since it is divisible by the number (16) 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 15151650016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479832320).

15151650016 is an abundant number, since it is smaller than the sum of its proper divisors (17808014624).

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

15151650016 is a wasteful number, since it uses less digits than its factorization.

15151650016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 15151650016 in words is "fifteen billion, one hundred fifty-one million, six hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 173 184 304 346 368 437 608 692 736 874 1384 1748 2768 3287 3496 3979 5536 6263 6574 6992 7958 12526 13148 13984 15916 25052 26296 31832 50104 52592 63664 75601 100208 105184 118997 127328 144049 151202 200416 237994 288098 302404 475988 576196 604808 951976 1083499 1152392 1209616 1903952 2166998 2304784 2419232 2736931 3807904 4333996 4609568 5473862 8667992 10947724 17335984 20586481 21895448 24920477 34671968 41172962 43790896 49840954 82345924 87581792 99681908 164691848 199363816 329383696 398727632 473489063 658767392 797455264 946978126 1893956252 3787912504 7575825008 15151650016