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13639880072448 = 283371132494769
BaseRepresentation
bin1100011001111100100000…
…1101001101110100000000
31210021221220200202011121000
43012133020031031310000
53241433433244304243
645002024023132000
72605306641440250
oct306371015156400
953257820664530
1013639880072448
114389705789a53
1216436002a4000
1377c309898216
14352260979960
15189c106ec5d3
hexc67c834dd00

13639880072448 has 288 divisors, whose sum is σ = 46505706105600. Its totient is φ = 3862619357184.

The previous prime is 13639880072443. The next prime is 13639880072461. The reversal of 13639880072448 is 84427008893631.

13639880072448 is a `hidden beast` number, since 1 + 36 + 3 + 98 + 8 + 0 + 0 + 72 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13639880072443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4220008 + ... + 6714776.

It is an arithmetic number, because the mean of its divisors is an integer number (161478146200).

Almost surely, 213639880072448 is an apocalyptic number.

13639880072448 is a gapful number since it is divisible by the number (18) 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 13639880072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23252853052800).

13639880072448 is an abundant number, since it is smaller than the sum of its proper divisors (32865826033152).

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

13639880072448 is a wasteful number, since it uses less digits than its factorization.

13639880072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494914 (or 2494894 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 13639880072448 in words is "thirteen trillion, six hundred thirty-nine billion, eight hundred eighty million, seventy-two thousand, four hundred forty-eight".