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20963460000 = 253547193771
BaseRepresentation
bin10011100001100001…
…010000001110100000
32000002222110002220110
4103201201100032200
5320413121210000
613344103411320
71341331320120
oct234141201640
960088402813
1020963460000
11898836585a
124090753b40
131c91190102
14102c240c80
1582a630850
hex4e18503a0

20963460000 has 960 divisors, whose sum is σ = 86156421120. Its totient is φ = 4354560000.

The previous prime is 20963459927. The next prime is 20963460013. The reversal of 20963460000 is 6436902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 20963460000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 295259965 + ... + 295260035.

It is an arithmetic number, because the mean of its divisors is an integer number (89746272).

Almost surely, 220963460000 is an apocalyptic number.

20963460000 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 20963460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43078210560).

20963460000 is an abundant number, since it is smaller than the sum of its proper divisors (65192961120).

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

20963460000 is a wasteful number, since it uses less digits than its factorization.

20963460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 20963460000 its reverse (6436902), we get a palindrome (20969896902).

The spelling of 20963460000 in words is "twenty billion, nine hundred sixty-three million, four hundred sixty thousand".