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2573006681 = 74717943691
BaseRepresentation
bin1001100101011100…
…1111011101011001
320122022120021121202
42121113033131121
520232142203211
61103152243545
7120522124130
oct23127173531
96568507552
102573006681
111100439003
125b98405b5
133200b167b
141a5a16917
15100d4c53b
hex995cf759

2573006681 has 16 divisors (see below), whose sum is σ = 3019991040. Its totient is φ = 2146402320.

The previous prime is 2573006663. The next prime is 2573006693. The reversal of 2573006681 is 1866003752.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2573006681 is a prime.

It is a super-2 number, since 2×25730066812 = 13240726760941271522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2573006281) 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 15 ways as a sum of consecutive naturals, for example, 37046 + ... + 80736.

It is an arithmetic number, because the mean of its divisors is an integer number (188749440).

Almost surely, 22573006681 is an apocalyptic number.

It is an amenable number.

2573006681 is a deficient number, since it is larger than the sum of its proper divisors (446984359).

2573006681 is a wasteful number, since it uses less digits than its factorization.

2573006681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43924.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2573006681 is about 50724.8132672758. The cubic root of 2573006681 is about 1370.2936271908.

The spelling of 2573006681 in words is "two billion, five hundred seventy-three million, six thousand, six hundred eighty-one".

Divisors: 1 7 47 179 329 1253 8413 43691 58891 305837 2053477 7820689 14374339 54744823 367572383 2573006681