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163935102321 = 321744672
BaseRepresentation
bin1001100010101101001…
…0110010010101110001
3120200010220211001120100
42120223102302111301
510141214341233241
6203151042103013
714562315243504
oct2305322622561
9520126731510
10163935102321
1163585100841
122793164aa69
13125c75b8033
147d123b313b
1543e71939b6
hex262b4b2571

163935102321 has 45 divisors (see below), whose sum is σ = 252134567581. Its totient is φ = 102640981056.

The previous prime is 163935102319. The next prime is 163935102329. The reversal of 163935102321 is 123201539361.

The square root of 163935102321 is 404889.

It is a perfect power (a square), and thus also a powerful number.

163935102321 is a `hidden beast` number, since 1 + 639 + 3 + 5 + 10 + 2 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50877764721 + 113057337600 = 225561^2 + 336240^2 .

It is not a de Polignac number, because 163935102321 - 21 = 163935102319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163935102329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 351038530 + ... + 351038996.

Almost surely, 2163935102321 is an apocalyptic number.

163935102321 is the 404889-th square number.

163935102321 is the 202445-th centered octagonal number.

It is an amenable number.

163935102321 is a deficient number, since it is larger than the sum of its proper divisors (88199465260).

163935102321 is an frugal number, since it uses more digits than its factorization.

163935102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 163935102321 by its sum of digits (36), we get a square (5901663683556 = 24293342).

It can be divided in two parts, 163935 and 102321, that added together give a square (266256 = 5162).

The spelling of 163935102321 in words is "one hundred sixty-three billion, nine hundred thirty-five million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 289 467 867 1401 2601 4203 4913 7939 14739 23817 44217 71451 83521 134963 218089 250563 404889 654267 751689 1214667 1962801 2294371 3707513 6883113 11122539 20649339 33367617 39004307 63027721 117012921 189083163 351038763 567249489 1071471257 3214413771 9643241313 18215011369 54645034107 163935102321