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13330452528 = 243423943037
BaseRepresentation
bin11000110101000111…
…01001000000110000
31021102000121011010000
430122203221000300
5204300043440103
610042433510000
7651224656041
oct143243510060
937360534100
1013330452528
115720769318
122700412300
1313459a2743
149065c88c8
15530478aa3
hex31a8e9030

13330452528 has 100 divisors (see below), whose sum is σ = 38744529120. Its totient is φ = 4424789376.

The previous prime is 13330452517. The next prime is 13330452581. The reversal of 13330452528 is 82525403331.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 13330452492 and 13330452501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288226 + ... + 331262.

Almost surely, 213330452528 is an apocalyptic number.

13330452528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330452528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372264560).

13330452528 is an abundant number, since it is smaller than the sum of its proper divisors (25414076592).

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

13330452528 is a wasteful number, since it uses less digits than its factorization.

13330452528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43296 (or 43281 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13330452528 its reverse (82525403331), we get a palindrome (95855855859).

The spelling of 13330452528 in words is "thirteen billion, three hundred thirty million, four hundred fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 239 324 432 478 648 717 956 1296 1434 1912 2151 2868 3824 4302 5736 6453 8604 11472 12906 17208 19359 25812 34416 38718 43037 51624 77436 86074 103248 129111 154872 172148 258222 309744 344296 387333 516444 688592 774666 1032888 1161999 1549332 2065776 2323998 3098664 3485997 4647996 6197328 6971994 9295992 10285843 13943988 18591984 20571686 27887976 30857529 41143372 55775952 61715058 82286744 92572587 123430116 164573488 185145174 246860232 277717761 370290348 493720464 555435522 740580696 833153283 1110871044 1481161392 1666306566 2221742088 3332613132 4443484176 6665226264 13330452528