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11366801264 = 2472131115267
BaseRepresentation
bin10101001011000001…
…11001111101110000
31002100011122022222102
422211200321331300
5141234400120024
65115525555532
7551452134200
oct124540717560
932304568872
1011366801264
114903299035
122252875ba8
1310c1c14010
1479b8b2400
15467d961ae
hex2a5839f70

11366801264 has 60 divisors (see below), whose sum is σ = 27589499784. Its totient is φ = 4496752512.

The previous prime is 11366801213. The next prime is 11366801309. The reversal of 11366801264 is 46210866311.

11366801264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 547442 + ... + 567825.

Almost surely, 211366801264 is an apocalyptic number.

11366801264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11366801264 is an abundant number, since it is smaller than the sum of its proper divisors (16222698520).

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

11366801264 is a wasteful number, since it uses less digits than its factorization.

11366801264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115302 (or 1115289 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 11366801264 in words is "eleven billion, three hundred sixty-six million, eight hundred one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 1115267 2230534 4461068 7806869 8922136 14498471 15613738 17844272 28996942 31227476 54648083 57993884 62454952 101489297 109296166 115987768 124909904 202978594 218592332 231975536 405957188 437184664 710425079 811914376 874369328 1420850158 1623828752 2841700316 5683400632 11366801264