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7145160546120 = 2335831442349739
BaseRepresentation
bin110011111111001110011…
…0000011001011101001000
3221022001220112010202120020
41213332130300121131020
51414031242044433440
623110235203500440
71335135511356402
oct147763460313510
927261815122506
107145160546120
112305277944133
12974943987720
133caa2a39b3bc
141a9b82d97b72
15c5cde4db3d0
hex67f9cc19748

7145160546120 has 128 divisors (see below), whose sum is σ = 21695680742400. Its totient is φ = 1882251448064.

The previous prime is 7145160546119. The next prime is 7145160546157. The reversal of 7145160546120 is 216450615417.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 143628211 + ... + 143677949.

It is an arithmetic number, because the mean of its divisors is an integer number (169497505800).

Almost surely, 27145160546120 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 7145160546120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847840371200).

7145160546120 is an abundant number, since it is smaller than the sum of its proper divisors (14550520196280).

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

7145160546120 is a wasteful number, since it uses less digits than its factorization.

7145160546120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64259 (or 64255 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 7145160546120 in words is "seven trillion, one hundred forty-five billion, one hundred sixty million, five hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 14423 28846 43269 49739 57692 72115 86538 99478 115384 144230 149217 173076 198956 216345 248695 288460 298434 346152 397912 432690 497390 576920 596868 746085 865380 994780 1193736 1197109 1492170 1730760 1989560 2394218 2984340 3591327 4128337 4788436 5968680 5985545 7182654 8256674 9576872 11971090 12385011 14365308 16513348 17956635 20641685 23942180 24770022 28730616 33026696 35913270 41283370 47884360 49540044 61925055 71826540 82566740 99080088 123850110 143653080 165133480 247700220 495400440 717385597 1434771194 2152156791 2869542388 3586927985 4304313582 5739084776 7173855970 8608627164 10760783955 14347711940 17217254328 21521567910 28695423880 43043135820 59543004551 86086271640 119086009102 178629013653 238172018204 297715022755 357258027306 476344036408 595430045510 714516054612 893145068265 1190860091020 1429032109224 1786290136530 2381720182040 3572580273060 7145160546120