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10110064563144 = 23337133019170371
BaseRepresentation
bin1001001100011110111011…
…0011101001001111001000
31022210111211210010101012000
42103013232303221033020
52311120403012010034
633300255522351000
72062266552605430
oct223075663511710
938714753111160
1010110064563144
1132487219713a7
1211734941bb460
135844b4b3c370
1426d488b1b2c0
15127ebca40599
hex931eece93c8

10110064563144 has 256 divisors, whose sum is σ = 34575975168000. Its totient is φ = 2665491805440.

The previous prime is 10110064563143. The next prime is 10110064563149. The reversal of 10110064563144 is 44136546001101.

10110064563144 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 0 + 645 + 6 + 3 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10110064563099 and 10110064563108.

It is not an unprimeable number, because it can be changed into a prime (10110064563143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59256279 + ... + 59426649.

It is an arithmetic number, because the mean of its divisors is an integer number (135062403000).

Almost surely, 210110064563144 is an apocalyptic number.

10110064563144 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 10110064563144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287987584000).

10110064563144 is an abundant number, since it is smaller than the sum of its proper divisors (24465910604856).

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

10110064563144 is a wasteful number, since it uses less digits than its factorization.

10110064563144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173425 (or 173415 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10110064563144 in words is "ten trillion, one hundred ten billion, sixty-four million, five hundred sixty-three thousand, one hundred forty-four".