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22016626400142 = 23211293834313201
BaseRepresentation
bin1010000000110001001010…
…01100100001101110001110
32212221202202112210222212200
411000120211030201232032
510341210022324301032
6114454144252342330
74431435345422523
oct500304514415616
985852675728780
1022016626400142
1170192206a3390
122576b777749a6
13c3920b3114aa
14561878d3914a
15282a8283e47c
hex140625321b8e

22016626400142 has 48 divisors (see below), whose sum is σ = 53833757356080. Its totient is φ = 6441646176000.

The previous prime is 22016626400107. The next prime is 22016626400143. The reversal of 22016626400142 is 24100462661022.

22016626400142 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 6 + 6 + 2 + 640 + 0 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22016626400097 and 22016626400106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22016626400143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917150859 + ... + 1917162342.

It is an arithmetic number, because the mean of its divisors is an integer number (1121536611585).

Almost surely, 222016626400142 is an apocalyptic number.

22016626400142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22016626400142 is an abundant number, since it is smaller than the sum of its proper divisors (31817130955938).

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

22016626400142 is a wasteful number, since it uses less digits than its factorization.

22016626400142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834313249 (or 3834313246 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22016626400142 in words is "twenty-two trillion, sixteen billion, six hundred twenty-six million, four hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 3834313201 7668626402 11502939603 23005879206 34508818809 42177445211 69017637618 84354890422 111195082829 126532335633 222390165658 253064671266 333585248487 379597006899 667170496974 759194013798 1000755745461 1223145911119 2001511490922 2446291822238 3669437733357 7338875466714 11008313200071 22016626400142