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13420544022 = 23317233741419
BaseRepresentation
bin11000111111110110…
…10100000000010110
31021122022010021102000
430133323110000112
5204441124402042
610055412500130
7653400512334
oct143773240026
937568107360
1013420544022
1157676023a6
12272661a646
13135b557212
1491455ab54
1553832274c
hex31fed4016

13420544022 has 256 divisors, whose sum is σ = 34749388800. Its totient is φ = 3813765120.

The previous prime is 13420543979. The next prime is 13420544057. The reversal of 13420544022 is 22044502431.

13420544022 is a `hidden beast` number, since 13 + 4 + 205 + 440 + 2 + 2 = 666.

13420544022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134205440222 (a number of 21 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 32029729 + ... + 32030147.

It is an arithmetic number, because the mean of its divisors is an integer number (135739800).

Almost surely, 213420544022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420544022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

13420544022 is an abundant number, since it is smaller than the sum of its proper divisors (21328844778).

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

13420544022 is a wasteful number, since it uses less digits than its factorization.

13420544022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 13420544022 in words is "thirteen billion, four hundred twenty million, five hundred forty-four thousand, twenty-two".