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11861660430144 = 263672192331383
BaseRepresentation
bin1010110010011100001000…
…0011100110111101000000
31112222222000111202211000000
42230213002003212331000
53023320140032231034
641121101021000000
72332656001041300
oct254470203467500
945888014684000
1011861660430144
113863558097488
1213b6a520b3000
1368071bb31345
142d0170ad5600
15158837d88599
hexac9c20e6f40

11861660430144 has 2352 divisors, whose sum is σ = 46668213780480. Its totient is φ = 2964253501440.

The previous prime is 11861660430119. The next prime is 11861660430157. The reversal of 11861660430144 is 44103406616811.

11861660430144 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 1 + 6 + 604 + 30 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11861660430144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 30970392577 + ... + 30970392959.

Almost surely, 211861660430144 is an apocalyptic number.

11861660430144 is a gapful number since it is divisible by the number (14) 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 11861660430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23334106890240).

11861660430144 is an abundant number, since it is smaller than the sum of its proper divisors (34806553350336).

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

11861660430144 is a wasteful number, since it uses less digits than its factorization.

11861660430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11861660430144 in words is "eleven trillion, eight hundred sixty-one billion, six hundred sixty million, four hundred thirty thousand, one hundred forty-four".