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20252034720 = 253451791921
BaseRepresentation
bin10010110111000111…
…011000011010100000
31221021101202221220000
4102313013120122200
5312434010102340
613145331220000
71314602312001
oct226707303240
957241687800
1020252034720
118652822485
123b12447600
131ba99804c8
14da19711a8
157d7e52d30
hex4b71d86a0

20252034720 has 240 divisors, whose sum is σ = 75677911848. Its totient is φ = 5082808320.

The previous prime is 20252034713. The next prime is 20252034731. The reversal of 20252034720 is 2743025202.

It can be written as a sum of positive squares in 4 ways, for example, as 15686059536 + 4565975184 = 125244^2 + 67572^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 174360 + ... + 266280.

Almost surely, 220252034720 is an apocalyptic number.

20252034720 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 20252034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37838955924).

20252034720 is an abundant number, since it is smaller than the sum of its proper divisors (55425877128).

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

20252034720 is a wasteful number, since it uses less digits than its factorization.

20252034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91965 (or 91948 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 20252034720 its reverse (2743025202), we get a palindrome (22995059922).

The spelling of 20252034720 in words is "twenty billion, two hundred fifty-two million, thirty-four thousand, seven hundred twenty".