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20172936960 = 2832511159193
BaseRepresentation
bin10010110010011001…
…101001011100000000
31221001212221101011100
4102302121221130000
5312303232440320
613133424014400
71312622064201
oct226231513400
957055841140
1020172936960
118612108130
123aaba61400
131b964779b7
14d952615a8
157d102b790
hex4b2669700

20172936960 has 216 divisors, whose sum is σ = 76141853424. Its totient is φ = 4890378240.

The previous prime is 20172936941. The next prime is 20172937003. The reversal of 20172936960 is 6963927102.

It is a happy number.

20172936960 is a `hidden beast` number, since 201 + 7 + 29 + 369 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47124 + ... + 206316.

Almost surely, 220172936960 is an apocalyptic number.

20172936960 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 20172936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38070926712).

20172936960 is an abundant number, since it is smaller than the sum of its proper divisors (55968916464).

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

20172936960 is a wasteful number, since it uses less digits than its factorization.

20172936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159231 (or 159214 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 20172936960 in words is "twenty billion, one hundred seventy-two million, nine hundred thirty-six thousand, nine hundred sixty".