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13483668602880 = 2163557171423
BaseRepresentation
bin1100010000110110100101…
…0001110000000000000000
31202202000201001022022100000
43010031221101300000000
53231404023130243010
644402151205200000
72561106610033260
oct304155121600000
952660631268300
1013483668602880
114329434453883
121619285400000
1376a6734ab2a8
1434888228d7a0
15185b1b6627c0
hexc4369470000

13483668602880 has 1632 divisors, whose sum is σ = 58699138627584. Its totient is φ = 2898649939968.

The previous prime is 13483668602869. The next prime is 13483668602881. The reversal of 13483668602880 is 8820686638431.

13483668602880 is a `hidden beast` number, since 1 + 348 + 3 + 6 + 6 + 8 + 6 + 0 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-2 number, since 2×134836686028802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483668602881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9475521849 + ... + 9475523271.

Almost surely, 213483668602880 is an apocalyptic number.

13483668602880 is a gapful number since it is divisible by the number (10) 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 13483668602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29349569313792).

13483668602880 is an abundant number, since it is smaller than the sum of its proper divisors (45215470024704).

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

13483668602880 is an frugal number, since it uses more digits than its factorization.

13483668602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 13483668602880 in words is "thirteen trillion, four hundred eighty-three billion, six hundred sixty-eight million, six hundred two thousand, eight hundred eighty".