Search a number
-
+
13309577568 = 253272943139
BaseRepresentation
bin11000110010101000…
…00000100101100000
31021100120022121001100
430121110000211200
5204224222440233
610040410234400
7650552354100
oct143124004540
937316277040
1013309577568
11570aa00691
1226b5425a00
131341573cb1
14903913200
1552d703813
hex319500960

13309577568 has 108 divisors (see below), whose sum is σ = 44028604620. Its totient is φ = 3802732416.

The previous prime is 13309577557. The next prime is 13309577573. The reversal of 13309577568 is 86577590331.

13309577568 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 9 + 5 + 77 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 457458 + ... + 485681.

It is an arithmetic number, because the mean of its divisors is an integer number (407672265).

Almost surely, 213309577568 is an apocalyptic number.

13309577568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13309577568 is an abundant number, since it is smaller than the sum of its proper divisors (30719027052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13309577568 is a wasteful number, since it uses less digits than its factorization.

13309577568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943169 (or 943151 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 13309577568 in words is "thirteen billion, three hundred nine million, five hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 943139 1886278 2829417 3772556 5658834 6601973 7545112 8488251 11317668 13203946 15090224 16976502 19805919 22635336 26407892 30180448 33953004 39611838 45270672 46213811 52815784 59417757 67906008 79223676 90541344 92427622 105631568 118835514 135812016 138641433 158447352 184855244 211263136 237671028 271624032 277282866 316894704 369710488 415924299 475342056 554565732 633789408 739420976 831848598 950684112 1109131464 1478841952 1663697196 1901368224 2218262928 3327394392 4436525856 6654788784 13309577568