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10868781740544 = 29347213411421
BaseRepresentation
bin1001111000101001010111…
…0111111111001000000000
31102111001020002100102220000
42132022111313333020000
52411033231111144134
635041014400520000
72201146354321200
oct236122567771000
942431202312800
1010868781740544
113510473a42492
121276539020000
1360abca033c50
142980a2386400
1513cac68eee99
hex9e295dff200

10868781740544 has 600 divisors, whose sum is σ = 40639785441948. Its totient is φ = 2866484920320.

The previous prime is 10868781740533. The next prime is 10868781740587. The reversal of 10868781740544 is 44504718786801.

10868781740544 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 8 + 7 + 81 + 7 + 4 + 0 + 544 = 666.

10868781740544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8776477350144 + 2092304390400 = 2962512^2 + 1446480^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26211954 + ... + 26623374.

Almost surely, 210868781740544 is an apocalyptic number.

10868781740544 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 10868781740544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20319892720974).

10868781740544 is an abundant number, since it is smaller than the sum of its proper divisors (29771003701404).

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

10868781740544 is an equidigital number, since it uses as much as digits as its factorization.

10868781740544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411478 (or 411446 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 10868781740544 in words is "ten trillion, eight hundred sixty-eight billion, seven hundred eighty-one million, seven hundred forty thousand, five hundred forty-four".