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20396610000 = 243454132149
BaseRepresentation
bin10010111111101110…
…111001000111010000
31221122110211010220000
4102333232321013100
5313233013010000
613211534050000
71321306216164
oct227756710720
957573733800
1020396610000
118717399a88
123b52949900
131c00900200
14db6c46ca4
157e59b0000
hex4bfbb91d0

20396610000 has 750 divisors, whose sum is σ = 80415625950. Its totient is φ = 4987008000.

The previous prime is 20396609999. The next prime is 20396610019. The reversal of 20396610000 is 1669302.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 15713123904 + 4683486096 = 125352^2 + 68436^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 136889926 + ... + 136890074.

Almost surely, 220396610000 is an apocalyptic number.

20396610000 is a gapful number since it is divisible by the number (20) 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 20396610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40207812975).

20396610000 is an abundant number, since it is smaller than the sum of its proper divisors (60019015950).

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

20396610000 is a wasteful number, since it uses less digits than its factorization.

20396610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 20396610000 in words is "twenty billion, three hundred ninety-six million, six hundred ten thousand".