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28039837401 = 32558172
BaseRepresentation
bin11010000111010011…
…011111011011011001
32200101010220022210100
4122013103133123121
5424411144244101
620514211010013
72011565454042
oct320723373331
980333808710
1028039837401
1110989836944
125526599909
13284b258584
1414ddd9d8c9
15ae19d4e86
hex6874df6d9

28039837401 has 9 divisors (see below), whose sum is σ = 40502712991. Its totient is φ = 18692890032.

The previous prime is 28039837339. The next prime is 28039837421. The reversal of 28039837401 is 10473893082.

The square root of 28039837401 is 167451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27797225625 + 242611776 = 166725^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 28039837401 - 215 = 28039804633 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28039837421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 474445 + ... + 530261.

Almost surely, 228039837401 is an apocalyptic number.

28039837401 is the 167451-st square number.

28039837401 is the 83726-th centered octagonal number.

It is an amenable number.

28039837401 is a deficient number, since it is larger than the sum of its proper divisors (12462875590).

28039837401 is an frugal number, since it uses more digits than its factorization.

28039837401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111640 (or 55820 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28039837401 in words is "twenty-eight billion, thirty-nine million, eight hundred thirty-seven thousand, four hundred one".

Divisors: 1 3 9 55817 167451 502353 3115537489 9346612467 28039837401