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20122001856 = 263511217237
BaseRepresentation
bin10010101111010111…
…010110000111000000
31220221100002121100000
4102233113112013000
5312202213024411
613124404200000
71311433123305
oct225727260700
956840077300
1020122001856
118596388900
123a96999000
131b88a52a98
14d8c5a30ac
157cb819956
hex4af5d61c0

20122001856 has 756 divisors, whose sum is σ = 71726347784. Its totient is φ = 5583790080.

The previous prime is 20122001849. The next prime is 20122001903. The reversal of 20122001856 is 65810022102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 543837870 + ... + 543837906.

Almost surely, 220122001856 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 20122001856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35863173892).

20122001856 is an abundant number, since it is smaller than the sum of its proper divisors (51604345928).

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

20122001856 is a wasteful number, since it uses less digits than its factorization.

20122001856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 20122001856 its reverse (65810022102), we get a palindrome (85932023958).

The spelling of 20122001856 in words is "twenty billion, one hundred twenty-two million, one thousand, eight hundred fifty-six".