Search a number
-
+
264432323106060 = 2235137238313499531
BaseRepresentation
bin111100000111111111110010…
…101011111001010100001100
31021200021111001020220120020220
4330013333302223321110030
5234124424344203343220
62334222310542311340
7106461414322244244
oct7407776253712414
91250244036816226
10264432323106060
117729013372540a
12257a8909b88550
13b471b26a11495
14494284262cb24
152088759057540
hexf07ff2af950c

264432323106060 has 96 divisors (see below), whose sum is σ = 746127989332992. Its totient is φ = 69971195880960.

The previous prime is 264432323106037. The next prime is 264432323106121. The reversal of 264432323106060 is 60601323234462.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12838495 + ... + 26338025.

It is an arithmetic number, because the mean of its divisors is an integer number (7772166555552).

Almost surely, 2264432323106060 is an apocalyptic number.

264432323106060 is a gapful number since it is divisible by the number (20) 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 264432323106060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373063994666496).

264432323106060 is an abundant number, since it is smaller than the sum of its proper divisors (481695666226932).

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

264432323106060 is a wasteful number, since it uses less digits than its factorization.

264432323106060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502063 (or 13502061 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 264432323106060 in words is "two hundred sixty-four trillion, four hundred thirty-two billion, three hundred twenty-three million, one hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2383 2740 4110 4766 7149 8220 9532 11915 14298 23830 28596 35745 47660 71490 142980 326471 652942 979413 1305884 1632355 1958826 3264710 3917652 4897065 6529420 9794130 13499531 19588260 26999062 40498593 53998124 67497655 80997186 134995310 161994372 202492965 269990620 404985930 809971860 1849435747 3698871494 5548307241 7397742988 9247178735 11096614482 18494357470 22193228964 27741536205 32169382373 36988714940 55483072410 64338764746 96508147119 110966144820 128677529492 160846911865 193016294238 321693823730 386032588476 482540735595 643387647460 965081471190 1930162942380 4407205385101 8814410770202 13221616155303 17628821540404 22036026925505 26443232310606 44072053851010 52886464621212 66108080776515 88144107702020 132216161553030 264432323106060