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7166480706 = 23271143120247
BaseRepresentation
bin1101010110010011…
…11101000101000010
3200111102222221101100
412223021331011002
5104134104340311
63143042315230
7342410036520
oct65311750502
920442887340
107166480706
113048323030
121480058b16
138a2955438
144bdad5310
152be251a56
hex1ab27d142

7166480706 has 96 divisors (see below), whose sum is σ = 19809174528. Its totient is φ = 1818119520.

The previous prime is 7166480693. The next prime is 7166480729. The reversal of 7166480706 is 6070846617.

7166480706 is a `hidden beast` number, since 7 + 166 + 480 + 7 + 0 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526 + ... + 119721.

It is an arithmetic number, because the mean of its divisors is an integer number (206345568).

Almost surely, 27166480706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7166480706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904587264).

7166480706 is an abundant number, since it is smaller than the sum of its proper divisors (12642693822).

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

7166480706 is a wasteful number, since it uses less digits than its factorization.

7166480706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120316 (or 120313 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7166480706 is about 84655.0689917621. The cubic root of 7166480706 is about 1927.9775772101.

The spelling of 7166480706 in words is "seven billion, one hundred sixty-six million, four hundred eighty thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 63 66 77 86 99 126 129 154 198 231 258 301 387 462 473 602 693 774 903 946 1386 1419 1806 2709 2838 3311 4257 5418 6622 8514 9933 19866 29799 59598 120247 240494 360741 721482 841729 1082223 1322717 1683458 2164446 2525187 2645434 3968151 5050374 5170621 7575561 7936302 9259019 10341242 11904453 15151122 15511863 18518038 23808906 27777057 31023726 36194347 46535589 55554114 56876831 72388694 83331171 93071178 108583041 113753662 166662342 170630493 217166082 325749123 341260986 398137817 511891479 651498246 796275634 1023782958 1194413451 2388826902 3583240353 7166480706