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15790407993 = 3217101592
BaseRepresentation
bin11101011010010111…
…01000000100111001
31111202110102211121200
432231023220010321
5224314321023433
611130511124413
71066205152623
oct165513500471
944673384550
1015790407993
116773301268
123088213709
131648520ca9
14a9b1b3c13
156263e4613
hex3ad2e8139

15790407993 has 18 divisors (see below), whose sum is σ = 24152413194. Its totient is φ = 9906731712.

The previous prime is 15790407989. The next prime is 15790408009. The reversal of 15790407993 is 39970409751.

It is a happy number.

15790407993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14861560464 + 928847529 = 121908^2 + 30477^2 .

It is not a de Polignac number, because 15790407993 - 22 = 15790407989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15790407943) 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 17 ways as a sum of consecutive naturals, for example, 1549248 + ... + 1559406.

It is an arithmetic number, because the mean of its divisors is an integer number (1341800733).

Almost surely, 215790407993 is an apocalyptic number.

It is an amenable number.

15790407993 is a deficient number, since it is larger than the sum of its proper divisors (8362005201).

15790407993 is an frugal number, since it uses more digits than its factorization.

15790407993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20341 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 15790407993 in words is "fifteen billion, seven hundred ninety million, four hundred seven thousand, nine hundred ninety-three".

Divisors: 1 3 9 17 51 153 10159 30477 91431 172703 518109 1554327 103205281 309615843 928847529 1754489777 5263469331 15790407993