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45648084654 = 233845334901
BaseRepresentation
bin101010100000110101…
…100111111010101110
311100211021220222002000
4222200311213322232
51221441402202104
632545340513130
73204126213624
oct524065477256
9140737828060
1045648084654
11183a51766a7
128a1b54b7a6
1343c62743a3
1422d0771514
1512c27a8639
hexaa0d67eae

45648084654 has 16 divisors (see below), whose sum is σ = 101440188240. Its totient is φ = 15216028200.

The previous prime is 45648084617. The next prime is 45648084673.

45648084654 is a `hidden beast` number, since 45 + 64 + 80 + 8 + 465 + 4 = 666.

45648084654 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 845334901 = 45648084654 / (4 + 5 + 6 + 4 + 8 + 0 + 8 + 4 + 6 + 5 + 4).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45648084654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422667397 + ... + 422667504.

It is an arithmetic number, because the mean of its divisors is an integer number (6340011765).

Almost surely, 245648084654 is an apocalyptic number.

45648084654 is an abundant number, since it is smaller than the sum of its proper divisors (55792103586).

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

45648084654 is a wasteful number, since it uses less digits than its factorization.

45648084654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845334912 (or 845334906 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 45648084654 in words is "forty-five billion, six hundred forty-eight million, eighty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 845334901 1690669802 2536004703 5072009406 7608014109 15216028218 22824042327 45648084654