Search a number
-
+
264435131036116 = 22197389713861089
BaseRepresentation
bin111100001000000010011010…
…000011010011000111010100
31021200021202021221112012011101
4330020002122003103013110
5234130001122021123431
62334223453330115444
7106461544026251245
oct7410023203230724
91250252257465141
10264435131036116
1177291344729867
12257a937241bb84
13b472183687061
144942a2b518ccc
15208887080b961
hexf0809a0d31d4

264435131036116 has 24 divisors (see below), whose sum is σ = 465112255968360. Its totient is φ = 131545920049152.

The previous prime is 264435131036107. The next prime is 264435131036117. The reversal of 264435131036116 is 611630131534462.

It can be written as a sum of positive squares in 4 ways, for example, as 58461254832016 + 205973876204100 = 7645996^2 + 14351790^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264435131036117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 306663300 + ... + 307524388.

It is an arithmetic number, because the mean of its divisors is an integer number (19379677332015).

Almost surely, 2264435131036116 is an apocalyptic number.

It is an amenable number.

264435131036116 is a deficient number, since it is larger than the sum of its proper divisors (200677124932244).

264435131036116 is a wasteful number, since it uses less digits than its factorization.

264435131036116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251003 (or 1251001 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 264435131036116 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, one hundred thirty-one million, thirty-six thousand, one hundred sixteen".

Divisors: 1 2 4 197 394 788 389713 779426 861089 1558852 1722178 3444356 76773461 153546922 169634533 307093844 339269066 678538132 335577577457 671155154914 1342310309828 66108782759029 132217565518058 264435131036116