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20247680000 = 21054171861
BaseRepresentation
bin10010110110110110…
…110001010000000000
31221021002120201100002
4102312312301100000
5312431401230000
613145054015132
71314520304012
oct226666612000
957232521302
1020247680000
118650318739
123b10aa74a8
131ba8ab7352
14da115a1b2
157d78928d5
hex4b6db1400

20247680000 has 220 divisors, whose sum is σ = 53582263812. Its totient is φ = 7618560000.

The previous prime is 20247679957. The next prime is 20247680023. The reversal of 20247680000 is 8674202.

It can be written as a sum of positive squares in 10 ways, for example, as 18775576576 + 1472103424 = 137024^2 + 38368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10879070 + ... + 10880930.

Almost surely, 220247680000 is an apocalyptic number.

20247680000 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 20247680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26791131906).

20247680000 is an abundant number, since it is smaller than the sum of its proper divisors (33334583812).

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

20247680000 is an equidigital number, since it uses as much as digits as its factorization.

20247680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 20247680000 in words is "twenty billion, two hundred forty-seven million, six hundred eighty thousand".