Search a number
-
+
16012140810 = 2357119333889
BaseRepresentation
bin11101110100110010…
…11110000100001010
31112022220200000212020
432322121132010022
5230243102001220
611204511425310
71104536644161
oct167231360412
945286600766
1016012140810
116877488426
12312a525236
131682447343
14abc8123d8
1563aae3040
hex3ba65e10a

16012140810 has 64 divisors (see below), whose sum is σ = 39000579840. Its totient is φ = 4206504960.

The previous prime is 16012140791. The next prime is 16012140817. The reversal of 16012140810 is 1804121061.

16012140810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×160121408102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16012140817) 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 31 ways as a sum of consecutive naturals, for example, 4115346 + ... + 4119234.

It is an arithmetic number, because the mean of its divisors is an integer number (609384060).

Almost surely, 216012140810 is an apocalyptic number.

16012140810 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 16012140810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19500289920).

16012140810 is an abundant number, since it is smaller than the sum of its proper divisors (22988439030).

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

16012140810 is a wasteful number, since it uses less digits than its factorization.

16012140810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 16012140810 its reverse (1804121061), we get a palindrome (17816261871).

The spelling of 16012140810 in words is "sixteen billion, twelve million, one hundred forty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 1933 2130 3866 3889 5799 7778 9665 11598 11667 19330 19445 23334 28995 38890 57990 58335 116670 137243 274486 276119 411729 552238 686215 823458 828357 1372430 1380595 1656714 2058645 2761190 4117290 4141785 7517437 8283570 15034874 22552311 37587185 45104622 75174370 112761555 225523110 533738027 1067476054 1601214081 2668690135 3202428162 5337380270 8006070405 16012140810