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163921329 = 321113671901
BaseRepresentation
bin10011100010100…
…11110110110001
3102102110001210100
421301103312301
5313430440304
624133223013
74030210515
oct1161236661
9372401710
10163921329
1184590580
1246a91a69
1327c64590
1417ab0145
15e5ce439
hex9c53db1

163921329 has 48 divisors (see below), whose sum is σ = 282469824. Its totient is φ = 90288000.

The previous prime is 163921301. The next prime is 163921343. The reversal of 163921329 is 923129361.

It is a happy number.

163921329 is a `hidden beast` number, since 1 + 639 + 2 + 13 + 2 + 9 = 666.

It is not a de Polignac number, because 163921329 - 25 = 163921297 is a prime.

It is a super-2 number, since 2×1639213292 = 53740404202252482, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 163921293 and 163921302.

It is not an unprimeable number, because it can be changed into a prime (163921349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85279 + ... + 87179.

It is an arithmetic number, because the mean of its divisors is an integer number (5884788).

Almost surely, 2163921329 is an apocalyptic number.

It is an amenable number.

163921329 is a deficient number, since it is larger than the sum of its proper divisors (118548495).

163921329 is a wasteful number, since it uses less digits than its factorization.

163921329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1995 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 163921329 is about 12803.1765199110. The cubic root of 163921329 is about 547.2828287366.

The spelling of 163921329 in words is "one hundred sixty-three million, nine hundred twenty-one thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 13 33 39 67 99 117 143 201 429 603 737 871 1287 1901 2211 2613 5703 6633 7839 9581 17109 20911 24713 28743 62733 74139 86229 127367 188199 222417 271843 382101 815529 1146303 1401037 1655771 2446587 4203111 4967313 12609333 14901939 18213481 54640443 163921329