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13248044781048 = 23347111919970223
BaseRepresentation
bin1100000011001000110100…
…0000001100110111111000
31201220111112000111222020000
43000302031000030313320
53214023443430443143
644102022345033000
72535065620426350
oct300621500146770
951814460458200
1013248044781048
1142485119a3010
12159b687485760
1375139294b9cc
1433b2cccb7b60
1517e92a9d6bd3
hexc0c8d00cdf8

13248044781048 has 640 divisors, whose sum is σ = 48943319040000. Its totient is φ = 3243514855680.

The previous prime is 13248044781047. The next prime is 13248044781077. The reversal of 13248044781048 is 84018744084231.

It is a happy number.

13248044781048 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 80 + 447 + 81 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13248044780985 and 13248044781003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13248044781043) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 188621665 + ... + 188691887.

It is an arithmetic number, because the mean of its divisors is an integer number (76473936000).

Almost surely, 213248044781048 is an apocalyptic number.

13248044781048 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 13248044781048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24471659520000).

13248044781048 is an abundant number, since it is smaller than the sum of its proper divisors (35695274258952).

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

13248044781048 is a wasteful number, since it uses less digits than its factorization.

13248044781048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70477 (or 70464 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 13248044781048 in words is "thirteen trillion, two hundred forty-eight billion, forty-four million, seven hundred eighty-one thousand, forty-eight".