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20422806084 = 22323716791811
BaseRepresentation
bin10011000001010010…
…110100101001000100
31221201022010001011100
4103001102310221010
5313311214243314
613214311340100
71322044662462
oct230122645104
957638101140
1020422806084
11873016153a
123b5b681630
131c06172955
14dba505832
157e7e36c09
hex4c14b4a44

20422806084 has 72 divisors (see below), whose sum is σ = 53337630528. Its totient is φ = 6583878720.

The previous prime is 20422806077. The next prime is 20422806167. The reversal of 20422806084 is 48060822402.

It is a happy number.

20422806084 is a `hidden beast` number, since 2 + 0 + 42 + 2 + 8 + 0 + 608 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176539 + ... + 268349.

It is an arithmetic number, because the mean of its divisors is an integer number (740800424).

Almost surely, 220422806084 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 20422806084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26668815264).

20422806084 is an abundant number, since it is smaller than the sum of its proper divisors (32914824444).

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

20422806084 is a wasteful number, since it uses less digits than its factorization.

20422806084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92025 (or 92020 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20422806084 in words is "twenty billion, four hundred twenty-two million, eight hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 167 222 333 334 444 501 666 668 1002 1332 1503 2004 3006 6012 6179 12358 18537 24716 37074 55611 74148 91811 111222 183622 222444 275433 367244 550866 826299 1101732 1652598 3305196 3397007 6794014 10191021 13588028 15332437 20382042 30573063 30664874 40764084 45997311 61146126 61329748 91994622 122292252 137991933 183989244 275983866 551967732 567300169 1134600338 1701900507 2269200676 3403801014 5105701521 6807602028 10211403042 20422806084