Search a number
-
+
7138163248120 = 23529463106312503
BaseRepresentation
bin110011111011111101110…
…1011110100101111111000
3221021101211212111012020001
41213313323223310233320
51413422424242414440
623103121003242344
71334500224332602
oct147677353645770
927241755435201
107138163248120
112302307075623
129735105193b4
133ca183800298
141a96bb942172
15c5a30057b9a
hex67dfbaf4bf8

7138163248120 has 128 divisors (see below), whose sum is σ = 16667571916800. Its totient is φ = 2748046017024.

The previous prime is 7138163248109. The next prime is 7138163248169. The reversal of 7138163248120 is 218423618317.

It is a super-2 number, since 2×71381632481202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570909789 + ... + 570922291.

It is an arithmetic number, because the mean of its divisors is an integer number (130215405600).

Almost surely, 27138163248120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7138163248120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333785958400).

7138163248120 is an abundant number, since it is smaller than the sum of its proper divisors (9529408668680).

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

7138163248120 is a wasteful number, since it uses less digits than its factorization.

7138163248120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14069 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 7138163248120 in words is "seven trillion, one hundred thirty-eight billion, one hundred sixty-three million, two hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 463 580 926 1063 1160 1852 2126 2315 3704 4252 4630 5315 8504 9260 10630 12503 13427 18520 21260 25006 26854 30827 42520 50012 53708 61654 62515 67135 100024 107416 123308 125030 134270 154135 246616 250060 268540 308270 362587 492169 500120 537080 616540 725174 984338 1233080 1450348 1812935 1968676 2460845 2900696 3625870 3937352 4921690 5788889 7251740 9843380 11577778 13290689 14272901 14503480 19686760 23155556 26581378 28545802 28944445 46311112 53162756 57091604 57888890 66453445 71364505 106325512 114183208 115777780 132906890 142729010 167877781 231555560 265813780 285458020 335755562 385429981 531627560 570916040 671511124 770859962 839388905 1343022248 1541719924 1678777810 1927149905 3083439848 3357555620 3854299810 6153589007 6715111240 7708599620 12307178014 15417199240 24614356028 30767945035 49228712056 61535890070 123071780140 178454081203 246143560280 356908162406 713816324812 892270406015 1427632649624 1784540812030 3569081624060 7138163248120