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13331216670 = 23553107127617
BaseRepresentation
bin11000110101001101…
…00011100100011110
31021102002000222022120
430122212203210132
5204300242413140
610042502123410
7651234320622
oct143246434436
937362028276
1013331216670
115721140442
122700720566
131345bac4b5
14906747182
1553057a1d0
hex31a9a391e

13331216670 has 128 divisors (see below), whose sum is σ = 33216086016. Its totient is φ = 3422555136.

The previous prime is 13331216663. The next prime is 13331216671. The reversal of 13331216670 is 7661213331.

13331216670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331216671) 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 63 ways as a sum of consecutive naturals, for example, 21606202 + ... + 21606818.

It is an arithmetic number, because the mean of its divisors is an integer number (259500672).

Almost surely, 213331216670 is an apocalyptic number.

13331216670 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 13331216670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608043008).

13331216670 is an abundant number, since it is smaller than the sum of its proper divisors (19884869346).

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

13331216670 is a wasteful number, since it uses less digits than its factorization.

13331216670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914.

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 13331216670 in words is "thirteen billion, three hundred thirty-one million, two hundred sixteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 53 106 107 127 159 214 254 265 318 321 381 530 535 617 635 642 762 795 1070 1234 1270 1590 1605 1851 1905 3085 3210 3702 3810 5671 6170 6731 9255 11342 13462 13589 17013 18510 20193 27178 28355 32701 33655 34026 40386 40767 56710 65402 66019 67310 67945 78359 81534 85065 98103 100965 132038 135890 156718 163505 170130 196206 198057 201930 203835 235077 327010 330095 391795 396114 407670 470154 490515 660190 720217 783590 981030 990285 1175385 1440434 1980570 2160651 2350770 3499007 3601085 4153027 4321302 6998014 7202170 8306054 8384413 10497021 10803255 12459081 16768826 17495035 20765135 20994042 21606510 24918162 25153239 34990070 41530270 41922065 50306478 52485105 62295405 83844130 104970210 124590810 125766195 251532390 444373889 888747778 1333121667 2221869445 2666243334 4443738890 6665608335 13331216670