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13312660032 = 263273301751
BaseRepresentation
bin11000110010111111…
…10001001001000000
31021100210010012101200
430121133301021000
5204231020110112
610041000301200
7650620512630
oct143137611100
937323105350
1013312660032
115711716581
1226b6471800
1313420b3039
149040b66c0
1552db11cdc
hex3197f1240

13312660032 has 84 divisors (see below), whose sum is σ = 43609540416. Its totient is φ = 3803616000.

The previous prime is 13312660027. The next prime is 13312660079. The reversal of 13312660032 is 23006621331.

It is a happy number.

13312660032 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 26 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×133126600322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13312659978 and 13312660005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1646844 + ... + 1654907.

Almost surely, 213312660032 is an apocalyptic number.

13312660032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13312660032 is an abundant number, since it is smaller than the sum of its proper divisors (30296880384).

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

13312660032 is a wasteful number, since it uses less digits than its factorization.

13312660032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301776 (or 3301763 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 13312660032 in words is "thirteen billion, three hundred twelve million, six hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 3301751 6603502 9905253 13207004 19810506 23112257 26414008 29715759 39621012 46224514 52828016 59431518 69336771 79242024 92449028 105656032 118863036 138673542 158484048 184898056 208010313 211312064 237726072 277347084 316968096 369796112 416020626 475452144 554694168 633936192 739592224 832041252 950904288 1109388336 1479184448 1664082504 1901808576 2218776672 3328165008 4437553344 6656330016 13312660032