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2663603424 = 253222940387
BaseRepresentation
bin1001111011000011…
…0101110011100000
320212122001001222200
42132300311303200
520423340302144
61120150133200
7123002153436
oct23660656340
96778031880
102663603424
111147597749
12624051200
13335ab2101
141b3a7ad56
15108c95c69
hex9ec35ce0

2663603424 has 72 divisors (see below), whose sum is σ = 7607887560. Its totient is φ = 883968768.

The previous prime is 2663603399. The next prime is 2663603431. The reversal of 2663603424 is 4243063662.

2663603424 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 603 + 42 + 4 = 666.

2663603424 is digitally balanced in base 2, 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 (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45759 + ... + 86145.

It is an arithmetic number, because the mean of its divisors is an integer number (105665105).

Almost surely, 22663603424 is an apocalyptic number.

2663603424 is a gapful number since it is divisible by the number (24) 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 2663603424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803943780).

2663603424 is an abundant number, since it is smaller than the sum of its proper divisors (4944284136).

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

2663603424 is a wasteful number, since it uses less digits than its factorization.

2663603424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40632 (or 40621 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 2663603424 is about 51610.1097073044. The cubic root of 2663603424 is about 1386.1913617953.

The spelling of 2663603424 in words is "two billion, six hundred sixty-three million, six hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 687 916 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 16488 21984 32976 40387 65952 80774 121161 161548 242322 323096 363483 484644 646192 726966 969288 1292384 1453932 1938576 2907864 3877152 5815728 9248623 11631456 18497246 27745869 36994492 55491738 73988984 83237607 110983476 147977968 166475214 221966952 295955936 332950428 443933904 665900856 887867808 1331801712 2663603424