Search a number
-
+
326631275424 = 253210111229073
BaseRepresentation
bin1001100000011001011…
…11011011101110100000
31011020002111100222202100
410300030233123232200
520322420101303144
6410015145450400
732412141013626
oct4601457335640
91136074328670
10326631275424
11116583926733
12533781a0a00
1324a552cb54c
1411b48001516
15876a6ac269
hex4c0cbdbba0

326631275424 has 72 divisors (see below), whose sum is σ = 938054383812. Its totient is φ = 107799091200.

The previous prime is 326631275413. The next prime is 326631275437. The reversal of 326631275424 is 424572136623.

326631275424 is a `hidden beast` number, since 3 + 2 + 6 + 631 + 2 + 7 + 5 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 323465187600 + 3166087824 = 568740^2 + 56268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 326631275424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5585449 + ... + 5643624.

Almost surely, 2326631275424 is an apocalyptic number.

It is an amenable number.

326631275424 is an abundant number, since it is smaller than the sum of its proper divisors (611423108388).

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

326631275424 is a wasteful number, since it uses less digits than its factorization.

326631275424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229190 (or 11229179 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 326631275424 in words is "three hundred twenty-six billion, six hundred thirty-one million, two hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 11229073 22458146 33687219 44916292 67374438 89832584 101061657 134748876 179665168 202123314 269497752 359330336 404246628 538995504 808493256 1077991008 1134136373 1616986512 2268272746 3233973024 3402409119 4536545492 6804818238 9073090984 10207227357 13609636476 18146181968 20414454714 27219272952 36292363936 40828909428 54438545904 81657818856 108877091808 163315637712 326631275424