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20488022016 = 2113711231127
BaseRepresentation
bin10011000101001011…
…100110100000000000
31221212211211100121020
4103011023212200000
5313424413201031
613225001225440
71323466212420
oct230513464000
957784740536
1020488022016
118763a55200
123b79492280
131c16827a67
14dc5040480
157eda1a096
hex4c52e6800

20488022016 has 576 divisors, whose sum is σ = 71386398720. Its totient is φ = 5109350400.

The previous prime is 20488022011. The next prime is 20488022033. The reversal of 20488022016 is 61022088402.

It is a happy number.

It is a super-2 number, since 2×204880220162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20488022011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161322945 + ... + 161323071.

It is an arithmetic number, because the mean of its divisors is an integer number (123934720).

Almost surely, 220488022016 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 20488022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35693199360).

20488022016 is an abundant number, since it is smaller than the sum of its proper divisors (50898376704).

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

20488022016 is a wasteful number, since it uses less digits than its factorization.

20488022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 20488022016 in words is "twenty billion, four hundred eighty-eight million, twenty-two thousand, sixteen".