Search a number
-
+
264332235240351 = 3250014315872369
BaseRepresentation
bin111100000110100010100100…
…111110111111001110011111
31021122220220200221221011220200
4330012202210332333032133
5234121304404210142401
62334104315200114543
7106451242130362425
oct7406424476771637
91248826627834820
10264332235240351
1177251742736523
1225791436905a53
13b465565c493c5
14493ba69a59115
152085d4c263686
hexf068a4fbf39f

264332235240351 has 12 divisors (see below), whose sum is σ = 381813370039920. Its totient is φ = 176221424917440.

The previous prime is 264332235240257. The next prime is 264332235240371. The reversal of 264332235240351 is 153042532233462.

264332235240351 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 3 + 2 + 235 + 2 + 403 + 5 + 1 = 666.

It is not a de Polignac number, because 264332235240351 - 222 = 264332231046047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264332235240297 and 264332235240306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264332235240371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42076695 + ... + 47949063.

It is an arithmetic number, because the mean of its divisors is an integer number (31817780836660).

Almost surely, 2264332235240351 is an apocalyptic number.

264332235240351 is a deficient number, since it is larger than the sum of its proper divisors (117481134799569).

264332235240351 is a wasteful number, since it uses less digits than its factorization.

264332235240351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873806 (or 10873803 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 264332235240351 in words is "two hundred sixty-four trillion, three hundred thirty-two billion, two hundred thirty-five million, two hundred forty thousand, three hundred fifty-one".

Divisors: 1 3 9 5001431 5872369 15004293 17617107 45012879 52851321 29370248360039 88110745080117 264332235240351