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10942475544 = 233371113217229
BaseRepresentation
bin10100011000011100…
…01110110100011000
31001020121012100112000
422030032032310120
5134402233204134
65005451121000
7535110336030
oct121416166430
931217170460
1010942475544
114705818920
122154743160
131055036400
1475b3b88c0
154409c9e99
hex28c38ed18

10942475544 has 768 divisors, whose sum is σ = 43638912000. Its totient is φ = 2458460160.

The previous prime is 10942475491. The next prime is 10942475549. The reversal of 10942475544 is 44557424901.

10942475544 is a `hidden beast` number, since 1 + 0 + 94 + 2 + 4 + 7 + 554 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10942475544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10942475549) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47783622 + ... + 47783850.

It is an arithmetic number, because the mean of its divisors is an integer number (56821500).

Almost surely, 210942475544 is an apocalyptic number.

10942475544 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 10942475544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21819456000).

10942475544 is an abundant number, since it is smaller than the sum of its proper divisors (32696436456).

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

10942475544 is a wasteful number, since it uses less digits than its factorization.

10942475544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10942475544 in words is "ten billion, nine hundred forty-two million, four hundred seventy-five thousand, five hundred forty-four".