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20700295200 = 253552138191
BaseRepresentation
bin10011010001110101…
…010111000000100000
31222102122020221200000
4103101311113000200
5314343233421300
613302023100000
71331654414604
oct232165270040
958378227600
1020700295200
118862860192
1240185a1600
131c4b7bb4b0
1410052d9504
1581249ac00
hex4d1d57020

20700295200 has 432 divisors, whose sum is σ = 81530781696. Its totient is φ = 5094835200.

The previous prime is 20700295177. The next prime is 20700295249. The reversal of 20700295200 is 259200702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2523105 + ... + 2531295.

Almost surely, 220700295200 is an apocalyptic number.

20700295200 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 20700295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40765390848).

20700295200 is an abundant number, since it is smaller than the sum of its proper divisors (60830486496).

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

20700295200 is a wasteful number, since it uses less digits than its factorization.

20700295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8239 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 20700295200 its reverse (259200702), we get a palindrome (20959495902).

The spelling of 20700295200 in words is "twenty billion, seven hundred million, two hundred ninety-five thousand, two hundred".