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13310483688 = 23322698292
BaseRepresentation
bin11000110010101110…
…11101110011101000
31021100122000122000100
430121113131303220
5204224440434223
610040441505400
7650563146615
oct143127356350
937318018010
1013310483688
11571046a447
1226b57a2260
131341800568
14903aab50c
1552d832043
hex3195ddce8

13310483688 has 72 divisors (see below), whose sum is σ = 36226938150. Its totient is φ = 4415001984.

The previous prime is 13310483677. The next prime is 13310483699. The reversal of 13310483688 is 88638401331.

It is an interprime number because it is at equal distance from previous prime (13310483677) and next prime (13310483699).

It can be written as a sum of positive squares in 3 ways, for example, as 9316496484 + 3993987204 = 96522^2 + 63198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16055658 + ... + 16056486.

Almost surely, 213310483688 is an apocalyptic number.

13310483688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13310483688 is an abundant number, since it is smaller than the sum of its proper divisors (22916454462).

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

13310483688 is an equidigital number, since it uses as much as digits as its factorization.

13310483688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13310483688 in words is "thirteen billion, three hundred ten million, four hundred eighty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 807 829 1076 1614 1658 2152 2421 2487 3228 3316 4842 4974 6456 6632 7461 9684 9948 14922 19368 19896 29844 59688 223001 446002 669003 687241 892004 1338006 1374482 1784008 2007009 2061723 2676012 2748964 4014018 4123446 5352024 5497928 6185169 8028036 8246892 12370338 16056072 16493784 24740676 49481352 184867829 369735658 554603487 739471316 1109206974 1478942632 1663810461 2218413948 3327620922 4436827896 6655241844 13310483688