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14469046890 = 2356110178283
BaseRepresentation
bin11010111100110110…
…00010001001101010
31101100101001201221120
431132123002021222
5214113034000030
610351425520110
71021361604114
oct153633021152
941311051846
1014469046890
1161554440a1
1229797a3036
13149784720c
149b38d23b4
1559a3d5010
hex35e6c226a

14469046890 has 64 divisors (see below), whose sum is σ = 35644897152. Its totient is φ = 3757536000.

The previous prime is 14469046873. The next prime is 14469046901. The reversal of 14469046890 is 9864096441.

14469046890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 145689 + ... + 223971.

It is an arithmetic number, because the mean of its divisors is an integer number (556951518).

Almost surely, 214469046890 is an apocalyptic number.

14469046890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14469046890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17822448576).

14469046890 is an abundant number, since it is smaller than the sum of its proper divisors (21175850262).

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

14469046890 is a wasteful number, since it uses less digits than its factorization.

14469046890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78455.

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 14469046890 in words is "fourteen billion, four hundred sixty-nine million, forty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 61 101 122 183 202 303 305 366 505 606 610 915 1010 1515 1830 3030 6161 12322 18483 30805 36966 61610 78283 92415 156566 184830 234849 391415 469698 782830 1174245 2348490 4775263 7906583 9550526 14325789 15813166 23719749 23876315 28651578 39532915 47439498 47752630 71628945 79065830 118598745 143257890 237197490 482301563 964603126 1446904689 2411507815 2893809378 4823015630 7234523445 14469046890