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1989372590856 = 2333723160135731
BaseRepresentation
bin11100111100101111110…
…110001011101100001000
321001011220210111112022000
4130330233312023230020
5230043213340401411
64121523302431000
7263504336005650
oct34745766135410
97034823445260
101989372590856
116a7762a68022
12281678a32460
1311579b8a26b1
146c40128b360
1536b34eda956
hex1cf2fd8bb08

1989372590856 has 256 divisors, whose sum is σ = 6594354892800. Its totient is φ = 543324672000.

The previous prime is 1989372590839. The next prime is 1989372590857. The reversal of 1989372590856 is 6580952739891.

1989372590856 is a `hidden beast` number, since 1 + 98 + 9 + 372 + 5 + 90 + 85 + 6 = 666.

It is a super-2 number, since 2×19893725908562 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1989372590857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55658511 + ... + 55694241.

It is an arithmetic number, because the mean of its divisors is an integer number (25759198800).

Almost surely, 21989372590856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1989372590856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297177446400).

1989372590856 is an abundant number, since it is smaller than the sum of its proper divisors (4604982301944).

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

1989372590856 is a wasteful number, since it uses less digits than its factorization.

1989372590856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37377 (or 37367 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 1989372590856 in words is "one trillion, nine hundred eighty-nine billion, three hundred seventy-two million, five hundred ninety thousand, eight hundred fifty-six".