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2493987633 = 32192767617
BaseRepresentation
bin1001010010100111…
…0011101100110001
320102210212200212100
42110221303230301
520101430101013
61051250451013
7115542354654
oct22451635461
96383780770
102493987633
11106a877905
12597293a69
13309905937
1419932789b
15e8e3e473
hex94a73b31

2493987633 has 18 divisors (see below), whose sum is σ = 3802011954. Its totient is φ = 1575148032.

The previous prime is 2493987619. The next prime is 2493987653. The reversal of 2493987633 is 3367893942.

2493987633 is a `hidden beast` number, since 2 + 493 + 98 + 7 + 63 + 3 = 666.

2493987633 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2163366144 + 330621489 = 46512^2 + 18183^2 .

It is not a de Polignac number, because 2493987633 - 210 = 2493986609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2493987633.

It is not an unprimeable number, because it can be changed into a prime (2493987653) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 380560 + ... + 387057.

Almost surely, 22493987633 is an apocalyptic number.

It is an amenable number.

2493987633 is a deficient number, since it is larger than the sum of its proper divisors (1308024321).

2493987633 is a wasteful number, since it uses less digits than its factorization.

2493987633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767661 (or 767639 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 2493987633 is about 49939.8401379099. The cubic root of 2493987633 is about 1356.1199299387.

The spelling of 2493987633 in words is "two billion, four hundred ninety-three million, nine hundred eighty-seven thousand, six hundred thirty-three".

Divisors: 1 3 9 19 57 171 361 1083 3249 767617 2302851 6908553 14584723 43754169 131262507 277109737 831329211 2493987633