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20629018872 = 23337112353927
BaseRepresentation
bin10011001101100101…
…011101100011111000
31222020200010201221000
4103031211131203320
5314222012100442
613250555245000
71330130524110
oct231545354370
958220121830
1020629018872
1188265a8230
123bb8749760
131c39ac3a57
14dd9a64040
1580b0bbd4c
hex4cd95d8f8

20629018872 has 256 divisors, whose sum is σ = 74550067200. Its totient is φ = 5125127040.

The previous prime is 20629018871. The next prime is 20629018873. The reversal of 20629018872 is 27881092602.

20629018872 is a `hidden beast` number, since 2 + 0 + 629 + 0 + 18 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20629018871) and next prime (20629018873).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20629018871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355573 + ... + 409499.

It is an arithmetic number, because the mean of its divisors is an integer number (291211200).

Almost surely, 220629018872 is an apocalyptic number.

20629018872 is a gapful number since it is divisible by the number (22) 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 20629018872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37275033600).

20629018872 is an abundant number, since it is smaller than the sum of its proper divisors (53921048328).

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

20629018872 is a wasteful number, since it uses less digits than its factorization.

20629018872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53983 (or 53973 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20629018872 in words is "twenty billion, six hundred twenty-nine million, eighteen thousand, eight hundred seventy-two".