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7340706670674 = 2313241812321737
BaseRepresentation
bin110101011010010010000…
…1101101010100001010010
3221222202122110200010112210
41222310210031222201102
51430232231401430144
623340135111532550
71355230361116656
oct152644415524122
927882573603483
107340706670674
1123801a35a8833
129a681798a156
134132c1a43200
141b5413738a66
15cae36933ab9
hex6ad2436a852

7340706670674 has 96 divisors (see below), whose sum is σ = 16288126190784. Its totient is φ = 2203216604160.

The previous prime is 7340706670669. The next prime is 7340706670679. The reversal of 7340706670674 is 4760766070437.

It is an interprime number because it is at equal distance from previous prime (7340706670669) and next prime (7340706670679).

It is a super-2 number, since 2×73407066706742 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7340706670679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337694734 + ... + 337716470.

It is an arithmetic number, because the mean of its divisors is an integer number (169667981154).

Almost surely, 27340706670674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7340706670674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144063095392).

7340706670674 is an abundant number, since it is smaller than the sum of its proper divisors (8947419520110).

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

7340706670674 is a wasteful number, since it uses less digits than its factorization.

7340706670674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29932 (or 29919 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 57.

The spelling of 7340706670674 in words is "seven trillion, three hundred forty billion, seven hundred six million, six hundred seventy thousand, six hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1599 3198 6929 8123 13858 16246 20787 21737 24369 41574 43474 48738 65211 105599 130422 211198 282581 316797 333043 565162 633594 666086 847743 891217 999129 1372787 1695486 1782434 1998258 2673651 2745574 3673553 4118361 4329559 5347302 7347106 8236722 8659118 11020659 11585821 12988677 22041318 23171642 25977354 34757463 56284267 69514926 112568534 150615673 168852801 176569651 301231346 337705602 353139302 451847019 529708953 903694038 1059417906 2295405463 4590810926 6886216389 7239355691 13772432778 14478711382 21718067073 29840271019 43436134146 59680542038 89520813057 94111623983 179041626114 188223247966 282334871949 564669743898 1223451111779 2446902223558 3670353335337 7340706670674