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13823713332 = 223211132685259
BaseRepresentation
bin11001101111111010…
…10010000000110100
31022200101202101201200
430313331102000310
5211302332311312
610203414052500
7666364424142
oct146775220064
938611671650
1013823713332
115954142480
12281964a130
1313c3c38240
14951d08592
1555d9100dc
hex337f52034

13823713332 has 72 divisors (see below), whose sum is σ = 41052254880. Its totient is φ = 3866771520.

The previous prime is 13823713331. The next prime is 13823713339. The reversal of 13823713332 is 23331732831.

13823713332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823713331) 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 23 ways as a sum of consecutive naturals, for example, 1337482 + ... + 1347777.

Almost surely, 213823713332 is an apocalyptic number.

13823713332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13823713332 is an abundant number, since it is smaller than the sum of its proper divisors (27228541548).

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

13823713332 is a wasteful number, since it uses less digits than its factorization.

13823713332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685293 (or 2685288 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The spelling of 13823713332 in words is "thirteen billion, eight hundred twenty-three million, seven hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 2685259 5370518 8055777 10741036 16111554 24167331 29537849 32223108 34908367 48334662 59075698 69816734 88613547 96669324 104725101 118151396 139633468 177227094 209450202 265840641 314175303 354454188 383992037 418900404 531681282 628350606 767984074 1063362564 1151976111 1256701212 1535968148 2303952222 3455928333 4607904444 6911856666 13823713332