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22048508081052 = 22329711021617777
BaseRepresentation
bin1010000001101100100010…
…11111011111001110011100
32220001211001102211012012100
411000312101133133032130
510342220321032043202
6114520540023405100
74433644404302535
oct500662137371634
986054042735170
1022048508081052
1170307a1010102
1225811948b3790
13c3c21c494b3b
1456322123d68c
152837eb75841c
hex140d917df39c

22048508081052 has 72 divisors (see below), whose sum is σ = 55845861048432. Its totient is φ = 7334730892800.

The previous prime is 22048508081027. The next prime is 22048508081063. The reversal of 22048508081052 is 25018080584022.

22048508081052 is a `hidden beast` number, since 2 + 20 + 48 + 508 + 0 + 81 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×220485080810522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22048508080989 and 22048508081007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35381188 + ... + 35998964.

It is an arithmetic number, because the mean of its divisors is an integer number (775636959006).

Almost surely, 222048508081052 is an apocalyptic number.

It is an amenable number.

22048508081052 is an abundant number, since it is smaller than the sum of its proper divisors (33797352967380).

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

22048508081052 is a wasteful number, since it uses less digits than its factorization.

22048508081052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619779 (or 619774 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 22048508081052 in words is "twenty-two trillion, forty-eight billion, five hundred eight million, eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 971 1021 1942 2042 2913 3063 3884 4084 5826 6126 8739 9189 11652 12252 17478 18378 34956 36756 617777 991391 1235554 1853331 1982782 2471108 2974173 3706662 3965564 5559993 5948346 7413324 8922519 11119986 11896692 17845038 22239972 35690076 599861467 630750317 1199722934 1261500634 1799584401 1892250951 2399445868 2523001268 3599168802 3784501902 5398753203 5676752853 7198337604 7569003804 10797506406 11353505706 21595012812 22707011412 612458557807 1224917115614 1837375673421 2449834231228 3674751346842 5512127020263 7349502693684 11024254040526 22048508081052