Search a number
-
+
10010109968334 = 233726481772403
BaseRepresentation
bin1001000110101010100100…
…0011000111111111001110
31022102221211202220212011000
42101222221003013333032
52303001201122441314
633142325300441130
72052130566556530
oct221525103077716
938387752825130
1010010109968334
11320a29a128953
1211580396a91a6
13577c458697c8
142686c5b19850
151255bc7c4209
hex91aa90c7fce

10010109968334 has 32 divisors (see below), whose sum is σ = 25422501507840. Its totient is φ = 2860031419416.

The previous prime is 10010109968333. The next prime is 10010109968347. The reversal of 10010109968334 is 43386990101001.

It is a self number, because there is not a number n which added to its sum of digits gives 10010109968334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010109968333) 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 15 ways as a sum of consecutive naturals, for example, 13240885824 + ... + 13240886579.

It is an arithmetic number, because the mean of its divisors is an integer number (794453172120).

Almost surely, 210010109968334 is an apocalyptic number.

10010109968334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10010109968334 is an abundant number, since it is smaller than the sum of its proper divisors (15412391539506).

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

10010109968334 is a wasteful number, since it uses less digits than its factorization.

10010109968334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26481772421 (or 26481772415 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

It can be divided in two parts, 1001010 and 9968334, that added together give a square (10969344 = 33122).

The spelling of 10010109968334 in words is "ten trillion, ten billion, one hundred nine million, nine hundred sixty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 26481772403 52963544806 79445317209 158890634418 185372406821 238335951627 370744813642 476671903254 556117220463 715007854881 1112234440926 1430015709762 1668351661389 3336703322778 5005054984167 10010109968334