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11666534000 = 245311530297
BaseRepresentation
bin10101101110110000…
…10010111001110000
31010010001122022222212
422313120102321300
5142343113042000
65205354151252
7562051621442
oct126730227160
933101568885
1011666534000
114a474aa740
122317122528
13113c04a274
147c9616492
15484350c35
hex2b7612e70

11666534000 has 80 divisors (see below), whose sum is σ = 30774253536. Its totient is φ = 4242368000.

The previous prime is 11666533933. The next prime is 11666534003. The reversal of 11666534000 is 43566611.

11666534000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×116665340002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11666534003) by changing a digit.

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, 243149 + ... + 287148.

Almost surely, 211666534000 is an apocalyptic number.

11666534000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11666534000 is an abundant number, since it is smaller than the sum of its proper divisors (19107719536).

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

11666534000 is a wasteful number, since it uses less digits than its factorization.

11666534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530331 (or 530315 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 11666534000 in words is "eleven billion, six hundred sixty-six million, five hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 530297 1060594 2121188 2651485 4242376 5302970 5833267 8484752 10605940 11666534 13257425 21211880 23333068 26514850 29166335 42423760 46666136 53029700 58332670 66287125 93332272 106059400 116665340 132574250 145831675 212118800 233330680 265148500 291663350 466661360 530297000 583326700 729158375 1060594000 1166653400 1458316750 2333306800 2916633500 5833267000 11666534000