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7387842480105 = 35432617975479
BaseRepresentation
bin110101110000001110110…
…1110100000011111101001
3222011021022110000100100110
41223200131232200133221
51432020300133330410
623413532235524533
71361516423644623
oct153403556403751
928137273010313
107387842480105
11239919153003a
129b39915b9749
1341789429c4c9
141b78058d5c13
15cc294b0e720
hex6b81dba07e9

7387842480105 has 96 divisors (see below), whose sum is σ = 12317909103360. Its totient is φ = 3780019837440.

The previous prime is 7387842480071. The next prime is 7387842480107. The reversal of 7387842480105 is 5010842487837.

It is not a de Polignac number, because 7387842480105 - 27 = 7387842479977 is a prime.

It is a super-2 number, since 2×73878424801052 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7387842480107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1348389756 + ... + 1348395234.

It is an arithmetic number, because the mean of its divisors is an integer number (128311553160).

Almost surely, 27387842480105 is an apocalyptic number.

It is an amenable number.

7387842480105 is a deficient number, since it is larger than the sum of its proper divisors (4930066623255).

7387842480105 is a wasteful number, since it uses less digits than its factorization.

7387842480105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 7387842480105 in words is "seven trillion, three hundred eighty-seven billion, eight hundred forty-two million, four hundred eighty thousand, one hundred five".

Divisors: 1 3 5 15 43 61 129 183 215 305 645 797 915 1849 2391 2623 3985 5479 5547 7869 9245 11955 13115 16437 27395 27735 34271 39345 48617 82185 102813 112789 145851 171355 235597 243085 334219 338367 514065 563945 706791 729255 1002657 1177985 1473653 1671095 1691835 2090531 3533955 4366763 4420959 5013285 6271593 7368265 10130671 10452655 13100289 14371417 21833815 22104795 30392013 31357965 43114251 50653355 65501445 71857085 89892833 151960065 187770809 215571255 266372543 269678499 449464165 563312427 617970931 799117629 938854045 1331862715 1348392495 1853912793 2816562135 3089854655 3995588145 8074144787 9269563965 11454019349 24222434361 34362058047 40370723935 57270096745 121112171805 171810290235 492522832007 1477568496021 2462614160035 7387842480105