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11164161664 = 271719270031
BaseRepresentation
bin10100110010110111…
…11001011010000000
31001211001100011201001
422121123321122000
5140331011133124
65043450421344
7543441544165
oct123133713200
931731304631
1011164161664
114809972997
1221b6a31854
13108bc44426
1477ca0406c
154551b9b44
hex2996f9680

11164161664 has 64 divisors (see below), whose sum is σ = 24788937600. Its totient is φ = 4977192960.

The previous prime is 11164161643. The next prime is 11164161667. The reversal of 11164161664 is 46616146111.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11164161667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93672 + ... + 176359.

It is an arithmetic number, because the mean of its divisors is an integer number (387327150).

Almost surely, 211164161664 is an apocalyptic number.

It is an amenable number.

11164161664 is an abundant number, since it is smaller than the sum of its proper divisors (13624775936).

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

11164161664 is a wasteful number, since it uses less digits than its factorization.

11164161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270081 (or 270069 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The spelling of 11164161664 in words is "eleven billion, one hundred sixty-four million, one hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 5168 10336 20672 41344 270031 540062 1080124 2160248 4320496 4590527 5130589 8640992 9181054 10261178 17281984 18362108 20522356 34563968 36724216 41044712 73448432 82089424 87220013 146896864 164178848 174440026 293793728 328357696 348880052 587587456 656715392 697760104 1395520208 2791040416 5582080832 11164161664