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13815328230 = 23251181117207
BaseRepresentation
bin11001101110111010…
…10010110111100110
31022122210222101112100
430313131102313212
5211243211000410
610202514232530
7666233231604
oct146735226746
938583871470
1013815328230
11594a435640
122816885746
1313c2290742
14950b64874
1555cd058c0
hex337752de6

13815328230 has 96 divisors (see below), whose sum is σ = 39235891968. Its totient is φ = 3344846400.

The previous prime is 13815328211. The next prime is 13815328231. The reversal of 13815328230 is 3282351831.

It is a happy number.

13815328230 is a `hidden beast` number, since 13 + 8 + 1 + 532 + 82 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13815328231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794287 + ... + 811493.

It is an arithmetic number, because the mean of its divisors is an integer number (408707208).

Almost surely, 213815328230 is an apocalyptic number.

13815328230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13815328230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19617945984).

13815328230 is an abundant number, since it is smaller than the sum of its proper divisors (25420563738).

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

13815328230 is a wasteful number, since it uses less digits than its factorization.

13815328230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18042 (or 18039 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13815328230 in words is "thirteen billion, eight hundred fifteen million, three hundred twenty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 811 990 1622 2433 4055 4866 7299 8110 8921 12165 14598 17207 17842 24330 26763 34414 36495 44605 51621 53526 72990 80289 86035 89210 103242 133815 154863 160578 172070 189277 258105 267630 309726 378554 401445 516210 567831 774315 802890 946385 1135662 1548630 1703493 1892770 2839155 3406986 5678310 8517465 13954877 17034930 27909754 41864631 69774385 83729262 125593893 139548770 153503647 209323155 251187786 307007294 418646310 460510941 627969465 767518235 921021882 1255938930 1381532823 1535036470 2302554705 2763065646 4605109410 6907664115 13815328230