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10645373889648 = 2434179377912143
BaseRepresentation
bin1001101011101001000110…
…1110101010110001110000
31101200200120102001201120000
42122322101232222301300
52343403211203432043
634350230043150000
72146050201034011
oct232722156526160
941620512051500
1010645373889648
113434750044473
12123b18a215300
135c2b152c5a34
1428b34b56b008
15136d9d4562d3
hex9ae91baac70

10645373889648 has 200 divisors, whose sum is σ = 30993678777600. Its totient is φ = 3527409914496.

The previous prime is 10645373889607. The next prime is 10645373889671. The reversal of 10645373889648 is 84698837354601.

10645373889648 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 537 + 3 + 8 + 89 + 6 + 4 + 8 = 666.

10645373889648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106453738896482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 876661465 + ... + 876673607.

It is an arithmetic number, because the mean of its divisors is an integer number (154968393888).

Almost surely, 210645373889648 is an apocalyptic number.

10645373889648 is a gapful number since it is divisible by the number (18) 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 10645373889648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496839388800).

10645373889648 is an abundant number, since it is smaller than the sum of its proper divisors (20348304887952).

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

10645373889648 is a wasteful number, since it uses less digits than its factorization.

10645373889648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16121 (or 16106 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 10645373889648 in words is "ten trillion, six hundred forty-five billion, three hundred seventy-three million, eight hundred eighty-nine thousand, six hundred forty-eight".