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2553006567 = 31852345943
BaseRepresentation
bin1001100000101011…
…1100100111100111
320120220221011121210
42120022330213213
520212032202232
61101155442503
7120160124556
oct23012744747
96526834553
102553006567
1110a0118691
125b2bb6433
13318bcb197
141a30cbd9d
15ee1eb5cc
hex982bc9e7

2553006567 has 8 divisors (see below), whose sum is σ = 3404266624. Its totient is φ = 1701875448.

The previous prime is 2553006557. The next prime is 2553006607. The reversal of 2553006567 is 7656003552.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2553006567 - 28 = 2553006311 is a prime.

It is a super-2 number, since 2×25530065672 = 13035685062290250978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553006557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32598 + ... + 78540.

It is an arithmetic number, because the mean of its divisors is an integer number (425533328).

Almost surely, 22553006567 is an apocalyptic number.

2553006567 is a deficient number, since it is larger than the sum of its proper divisors (851260057).

2553006567 is a wasteful number, since it uses less digits than its factorization.

2553006567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64469.

The product of its (nonzero) digits is 189000, while the sum is 39.

The square root of 2553006567 is about 50527.2853713714. The cubic root of 2553006567 is about 1366.7339335587.

The spelling of 2553006567 in words is "two billion, five hundred fifty-three million, six thousand, five hundred sixty-seven".

Divisors: 1 3 18523 45943 55569 137829 851002189 2553006567