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10554864012 = 223272112918757
BaseRepresentation
bin10011101010001111…
…00111000110001100
31000020120211122110100
421311013213012030
5133104021122022
64503203211100
7522362602200
oct116507470614
930216748410
1010554864012
114526a44610
122066976a90
13cc2941884
14721b1ab00
1541b9621ac
hex2751e718c

10554864012 has 216 divisors, whose sum is σ = 35027188560. Its totient is φ = 2646846720.

The previous prime is 10554863993. The next prime is 10554864031. The reversal of 10554864012 is 21046845501.

It is a happy number.

10554864012 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 4 + 8 + 640 + 1 + 2 = 666.

10554864012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10554863993) and next prime (10554864031).

It is a super-2 number, since 2×105548640122 (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553338 + ... + 572094.

It is an arithmetic number, because the mean of its divisors is an integer number (162162910).

Almost surely, 210554864012 is an apocalyptic number.

10554864012 is a gapful number since it is divisible by the number (12) 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 10554864012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513594280).

10554864012 is an abundant number, since it is smaller than the sum of its proper divisors (24472324548).

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

10554864012 is a wasteful number, since it uses less digits than its factorization.

10554864012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18821 (or 18809 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10554864012 in words is "ten billion, five hundred fifty-four million, eight hundred sixty-four thousand, twelve".