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11350012464 = 2433717220783
BaseRepresentation
bin10101001001000001…
…10111001000110000
31002022000001101002000
422210200313020300
5141221100344324
65114130054000
7551156341230
oct124440671060
932260041060
1011350012464
1148a487139a
12224911a300
1310bb5b640b
14799581cc0
1546667b9c9
hex2a4837230

11350012464 has 160 divisors (see below), whose sum is σ = 39423191040. Its totient is φ = 3052090368.

The previous prime is 11350012451. The next prime is 11350012517. The reversal of 11350012464 is 46421005311.

It is a happy number.

11350012464 is a `hidden beast` number, since 113 + 500 + 1 + 2 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58984 + ... + 161799.

It is an arithmetic number, because the mean of its divisors is an integer number (246394944).

Almost surely, 211350012464 is an apocalyptic number.

11350012464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11350012464 is an abundant number, since it is smaller than the sum of its proper divisors (28073178576).

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

11350012464 is a wasteful number, since it uses less digits than its factorization.

11350012464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220824 (or 220812 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11350012464 its reverse (46421005311), we get a palindrome (57771017775).

The spelling of 11350012464 in words is "eleven billion, three hundred fifty million, twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 220783 441566 662349 883132 1324698 1545481 1766264 1987047 2649396 3090962 3532528 3753311 3974094 4636443 5298792 5961141 6181924 7506622 7948188 9272886 10597584 11259933 11922282 12363848 13909329 15013244 15896376 18545772 22519866 23844564 24727696 26273177 27818658 30026488 31792752 33779799 37091544 41727987 45039732 47689128 52546354 55637316 60052976 67559598 74183088 78819531 83455974 90079464 95378256 101339397 105092708 111274632 135119196 157639062 166911948 180158928 202678794 210185416 222549264 236458593 270238392 315278124 333823896 405357588 420370832 472917186 540476784 630556248 667647792 709375779 810715176 945834372 1261112496 1418751558 1621430352 1891668744 2837503116 3783337488 5675006232 11350012464