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27954000831 = 367285148781
BaseRepresentation
bin11010000010001100…
…000011001110111111
32200011011101101011010
4122002030003032333
5424222211011311
620501503130303
72006504041461
oct320214031677
980134341133
1027954000831
1110945339629
1255018a3993
1328365336c3
1414d2818131
15ad91cbda6
hex6823033bf

27954000831 has 16 divisors (see below), whose sum is σ = 37842343808. Its totient is φ = 18351036000.

The previous prime is 27954000829. The next prime is 27954000863. The reversal of 27954000831 is 13800045972.

It is not a de Polignac number, because 27954000831 - 21 = 27954000829 is a prime.

It is a super-2 number, since 2×279540008312 (a number of 22 digits) contains 22 as substring.

It is the 167195-th Hogben number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27954000831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27954000871) by changing a digit.

It is a nontrivial repunit in base 167194.

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 15 ways as a sum of consecutive naturals, for example, 548661 + ... + 597441.

It is an arithmetic number, because the mean of its divisors is an integer number (2365146488).

Almost surely, 227954000831 is an apocalyptic number.

27954000831 is a deficient number, since it is larger than the sum of its proper divisors (9888342977).

27954000831 is a wasteful number, since it uses less digits than its factorization.

27954000831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51702.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 27954000831 in words is "twenty-seven billion, nine hundred fifty-four million, eight hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 67 201 2851 8553 48781 146343 191017 573051 3268327 9804981 139074631 417223893 9318000277 27954000831