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11666327400 = 23335271323741
BaseRepresentation
bin10101101110101111…
…00000011101101000
31010010001020211121000
422313113200131220
5142343034434100
65205345515000
7562050101220
oct126727403550
933101224530
1011666327400
114a473794a2
122317042a60
13113bca7210
147c95a1080
1548430e900
hex2b75e0768

11666327400 has 384 divisors, whose sum is σ = 49459334400. Its totient is φ = 2461363200.

The previous prime is 11666327399. The next prime is 11666327419. The reversal of 11666327400 is 472366611.

It is a happy number.

It is a super-2 number, since 2×116663274002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479530 + ... + 503270.

It is an arithmetic number, because the mean of its divisors is an integer number (128800350).

Almost surely, 211666327400 is an apocalyptic number.

11666327400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11666327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24729667200).

11666327400 is an abundant number, since it is smaller than the sum of its proper divisors (37793007000).

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

11666327400 is a wasteful number, since it uses less digits than its factorization.

11666327400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23786 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11666327400 in words is "eleven billion, six hundred sixty-six million, three hundred twenty-seven thousand, four hundred".