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163000214216 = 23721075217459
BaseRepresentation
bin1001011111001110010…
…0011110001011001000
3120120201202122211011222
42113303210132023020
510132311023323331
6202514204141212
714530203650300
oct2276344361310
9516652584158
10163000214216
116314540a544
1227710537808
13124a89c77c8
147c64174600
154390074b7b
hex25f391e2c8

163000214216 has 96 divisors (see below), whose sum is σ = 359583040800. Its totient is φ = 69062273280.

The previous prime is 163000214213. The next prime is 163000214219. The reversal of 163000214216 is 612412000361.

163000214216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163000214213) and next prime (163000214219).

It is not an unprimeable number, because it can be changed into a prime (163000214213) 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 23 ways as a sum of consecutive naturals, for example, 21849095 + ... + 21856553.

It is an arithmetic number, because the mean of its divisors is an integer number (3745656675).

Almost surely, 2163000214216 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 163000214216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179791520400).

163000214216 is an abundant number, since it is smaller than the sum of its proper divisors (196582826584).

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

163000214216 is a wasteful number, since it uses less digits than its factorization.

163000214216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 163000214216 its reverse (612412000361), we get a palindrome (775412214577).

The spelling of 163000214216 in words is "one hundred sixty-three billion, two hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 392 428 521 749 856 1042 1498 2084 2996 3647 4168 5243 5992 7294 7459 10486 14588 14918 20972 25529 29176 29836 41944 51058 52213 55747 59672 102116 104426 111494 204232 208852 222988 365491 390229 417704 445976 730982 780458 798113 1461964 1560916 1596226 2731603 2923928 3121832 3192452 3886139 5463206 5586791 6384904 7772278 10926412 11173582 15544556 21852824 22347164 27202973 31089112 39107537 44694328 54405946 78215074 108811892 156430148 190420811 217623784 312860296 380841622 415816873 761683244 831633746 1523366488 1663267492 2910718111 3326534984 5821436222 11642872444 20375026777 23285744888 40750053554 81500107108 163000214216