Search a number
-
+
24419901132 = 22321161666417
BaseRepresentation
bin10110101111100010…
…100001111011001100
32100000212100111202200
4112233202201323030
5400002443314012
615115055121500
71523101510014
oct265742417314
970025314680
1024419901132
11a3a1441180
124896213290
1323c22b8053
141279300c44
1597dcd63dc
hex5af8a1ecc

24419901132 has 36 divisors (see below), whose sum is σ = 67339728456. Its totient is φ = 7399969920.

The previous prime is 24419901131. The next prime is 24419901271. The reversal of 24419901132 is 23110991442.

24419901132 is a `hidden beast` number, since 24 + 419 + 90 + 1 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (24419901131) 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 11 ways as a sum of consecutive naturals, for example, 30832813 + ... + 30833604.

Almost surely, 224419901132 is an apocalyptic number.

24419901132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

24419901132 is an abundant number, since it is smaller than the sum of its proper divisors (42919827324).

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

24419901132 is a wasteful number, since it uses less digits than its factorization.

24419901132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61666438 (or 61666433 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 24419901132 in words is "twenty-four billion, four hundred nineteen million, nine hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 61666417 123332834 184999251 246665668 369998502 554997753 678330587 739997004 1109995506 1356661174 2034991761 2219991012 2713322348 4069983522 6104975283 8139967044 12209950566 24419901132