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20264150016 = 2103211474253
BaseRepresentation
bin10010110111110101…
…100110010000000000
31221022020120110221200
4102313311212100000
5313000110300031
613150443021200
71315110301365
oct226765462000
957266513850
1020264150016
118659647920
123b1650a800
131bac332b16
14da340646c
157d90478e6
hex4b7d66400

20264150016 has 264 divisors, whose sum is σ = 65205039744. Its totient is φ = 6008586240.

The previous prime is 20264149999. The next prime is 20264150021. The reversal of 20264150016 is 61005146202.

20264150016 is a `hidden beast` number, since 2 + 0 + 2 + 641 + 5 + 0 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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, 4762546 + ... + 4766798.

Almost surely, 220264150016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20264150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32602519872).

20264150016 is an abundant number, since it is smaller than the sum of its proper divisors (44940889728).

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

20264150016 is a wasteful number, since it uses less digits than its factorization.

20264150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 20264150016 its reverse (61005146202), we get a palindrome (81269296218).

The spelling of 20264150016 in words is "twenty billion, two hundred sixty-four million, one hundred fifty thousand, sixteen".