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11345346264 = 2337157430139
BaseRepresentation
bin10101001000011110…
…00011111011011000
31002021200021022020210
422210033003323120
5141213402040024
65113442051120
7551101565160
oct124417037330
932250238223
1011345346264
1148a217462a
122247649aa0
1310ba641555
14798ac95a0
15466059129
hex2a43c3ed8

11345346264 has 64 divisors (see below), whose sum is σ = 32621817600. Its totient is φ = 3220873344.

The previous prime is 11345346247. The next prime is 11345346281. The reversal of 11345346264 is 46264354311.

11345346264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11345346247) and next prime (11345346281).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188694 + ... + 241445.

It is an arithmetic number, because the mean of its divisors is an integer number (509715900).

Almost surely, 211345346264 is an apocalyptic number.

11345346264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11345346264 is an abundant number, since it is smaller than the sum of its proper divisors (21276471336).

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

11345346264 is a wasteful number, since it uses less digits than its factorization.

11345346264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430312 (or 430308 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The spelling of 11345346264 in words is "eleven billion, three hundred forty-five million, three hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 6594 8792 13188 26376 430139 860278 1290417 1720556 2580834 3010973 3441112 5161668 6021946 9032919 10323336 12043892 18065838 24087784 36131676 67531823 72263352 135063646 202595469 270127292 405190938 472722761 540254584 810381876 945445522 1418168283 1620763752 1890891044 2836336566 3781782088 5672673132 11345346264