Search a number
-
+
163497984 = 2113132389
BaseRepresentation
bin10011011111011…
…00100000000000
3102101122120001220
421233230200000
5313323413414
624120155040
74023465336
oct1157544000
9371576056
10163497984
1184321501
1246908a80
1327b46990
14179ddb56
15e548ca9
hex9bec800

163497984 has 192 divisors, whose sum is σ = 495331200. Its totient is φ = 47579136.

The previous prime is 163497973. The next prime is 163498009. The reversal of 163497984 is 489794361.

163497984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1837012 + ... + 1837100.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2163497984 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 163497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

163497984 is an abundant number, since it is smaller than the sum of its proper divisors (331833216).

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

163497984 is a wasteful number, since it uses less digits than its factorization.

163497984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 163497984 is about 12786.6330204632. The cubic root of 163497984 is about 546.8112830430.

The spelling of 163497984 in words is "one hundred sixty-three million, four hundred ninety-seven thousand, nine hundred eighty-four".