Search a number
-
+
163912096 = 2517417349
BaseRepresentation
bin10011100010100…
…01100110100000
3102102102121010101
421301101212200
5313430141341
624133112144
74030141555
oct1161214640
9372377111
10163912096
1184584647
1246a88654
1327c6030a
1417aaaa2c
15e5cb831
hex9c519a0

163912096 has 48 divisors (see below), whose sum is σ = 350065800. Its totient is φ = 75243520.

The previous prime is 163912081. The next prime is 163912103. The reversal of 163912096 is 690219361.

It can be written as a sum of positive squares in 4 ways, for example, as 135396496 + 28515600 = 11636^2 + 5340^2 .

It is a super-2 number, since 2×1639120962 = 53734350430226432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18630 + ... + 25978.

Almost surely, 2163912096 is an apocalyptic number.

163912096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163912096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175032900).

163912096 is an abundant number, since it is smaller than the sum of its proper divisors (186153704).

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

163912096 is a wasteful number, since it uses less digits than its factorization.

163912096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 163912096 is about 12802.8159402531. The cubic root of 163912096 is about 547.2725531626.

The spelling of 163912096 in words is "one hundred sixty-three million, nine hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2788 5576 7349 11152 14698 22304 29396 58792 117584 124933 235168 249866 301309 499732 602618 999464 1205236 1998928 2410472 3997856 4820944 5122253 9641888 10244506 20489012 40978024 81956048 163912096