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8022665152242 = 2321334339986861
BaseRepresentation
bin111010010111110110000…
…0110110100011011110010
31001101221220022212102200100
41310233230012310123302
52022420404234332432
625021321140533230
71455422056430256
oct164575406643362
931357808772610
108022665152242
112613436367614
12a96a1a3b1216
134626c34a3b50
141da4288c6266
15dda4bb8107c
hex74bec1b46f2

8022665152242 has 48 divisors (see below), whose sum is σ = 18725006722968. Its totient is φ = 2467793053440.

The previous prime is 8022665152217. The next prime is 8022665152247. The reversal of 8022665152242 is 2422515662208.

8022665152242 is a `hidden beast` number, since 8 + 0 + 2 + 26 + 65 + 1 + 522 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3182616752121 + 4840048400121 = 1783989^2 + 2200011^2 .

It is a super-2 number, since 2×80226651522422 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8022665152247) 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, 4190109 + ... + 5796752.

Almost surely, 28022665152242 is an apocalyptic number.

8022665152242 is an abundant number, since it is smaller than the sum of its proper divisors (10702341570726).

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

8022665152242 is a wasteful number, since it uses less digits than its factorization.

8022665152242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990315 (or 9990312 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 8022665152242 in words is "eight trillion, twenty-two billion, six hundred sixty-five million, one hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3433 6866 10299 20598 30897 44629 61794 89258 133887 267774 401661 803322 9986861 19973722 29960583 59921166 89881749 129829193 179763498 259658386 389487579 778975158 1168462737 2336925474 34284893813 68569787626 102854681439 205709362878 308564044317 445703619569 617128088634 891407239138 1337110858707 2674221717414 4011332576121 8022665152242