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264440660351552 = 26171503291616801
BaseRepresentation
bin111100001000000111100011…
…100111111101101001000000
31021200022021120021220111222222
4330020013203213331221000
5234130043433022222202
62334230210130350212
7106462131036540356
oct7410074347755100
91250267507814888
10264440660351552
11772937218a6343
12257aa45612b368
13b472855093239
144942dd3a037d6
152088a95e6c4a2
hexf081e39fda40

264440660351552 has 56 divisors (see below), whose sum is σ = 555621088892760. Its totient is φ = 124441758924800.

The previous prime is 264440660351521. The next prime is 264440660351597. The reversal of 264440660351552 is 255153066044462.

It can be written as a sum of positive squares in 4 ways, for example, as 45984456441856 + 218456203909696 = 6781184^2 + 14780264^2 .

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 264440660351494 and 264440660351503.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 162749552 + ... + 164366352.

Almost surely, 2264440660351552 is an apocalyptic number.

It is an amenable number.

264440660351552 is an abundant number, since it is smaller than the sum of its proper divisors (291180428541208).

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

264440660351552 is a wasteful number, since it uses less digits than its factorization.

264440660351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767159 (or 1767149 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 53.

The spelling of 264440660351552 in words is "two hundred sixty-four trillion, four hundred forty billion, six hundred sixty million, three hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 150329 300658 601316 1202632 1616801 2405264 2555593 3233602 4810528 5111186 6467204 9621056 10222372 12934408 20444744 25868816 27485617 40889488 51737632 54971234 81778976 103475264 109942468 163557952 219884936 439769872 879539744 1759079488 243052077529 486104155058 972208310116 1944416620232 3888833240464 4131885317993 7777666480928 8263770635986 15555332961856 16527541271972 33055082543944 66110165087888 132220330175776 264440660351552