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18693593856 = 283371722727
BaseRepresentation
bin10001011010001110…
…011001101100000000
31210020210021221221000
4101122032121230000
5301241030000411
612330540332000
71231146632430
oct213216315400
953223257830
1018693593856
117a23056823
123758544000
1319bbb38b52
14c949b82c0
15746212956
hex45a399b00

18693593856 has 288 divisors, whose sum is σ = 66896686080. Its totient is φ = 5026627584.

The previous prime is 18693593851. The next prime is 18693593939. The reversal of 18693593856 is 65839539681.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 18693593793 and 18693593802.

It is not an unprimeable number, because it can be changed into a prime (18693593851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811165 + ... + 833891.

It is an arithmetic number, because the mean of its divisors is an integer number (232280160).

Almost surely, 218693593856 is an apocalyptic number.

18693593856 is a gapful number since it is divisible by the number (16) 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 18693593856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33448343040).

18693593856 is an abundant number, since it is smaller than the sum of its proper divisors (48203092224).

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

18693593856 is a wasteful number, since it uses less digits than its factorization.

18693593856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22776 (or 22756 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 18693593856 in words is "eighteen billion, six hundred ninety-three million, five hundred ninety-three thousand, eight hundred fifty-six".