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13051262130048 = 27323110318119603
BaseRepresentation
bin1011110111101011101111…
…0101111101011110000000
31201012200120220020112211200
42331322323311331132000
53202312441101130143
643431400025541200
72514631304460522
oct275727365753600
951180526215750
1013051262130048
11418201125482a
121569509344800
13738962063c4c
14331982219a12
1517975ec3b1d3
hexbdebbd7d780

13051262130048 has 384 divisors, whose sum is σ = 39362523432960. Its totient is φ = 4145964134400.

The previous prime is 13051262130047. The next prime is 13051262130077. The reversal of 13051262130048 is 84003126215031.

13051262130048 is a `hidden beast` number, since 1 + 3 + 0 + 51 + 262 + 1 + 300 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13051262129994 and 13051262130021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13051262130047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665769015 + ... + 665788617.

It is an arithmetic number, because the mean of its divisors is an integer number (102506571440).

Almost surely, 213051262130048 is an apocalyptic number.

13051262130048 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 13051262130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681261716480).

13051262130048 is an abundant number, since it is smaller than the sum of its proper divisors (26311261302912).

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

13051262130048 is a wasteful number, since it uses less digits than its factorization.

13051262130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19938 (or 19923 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 13051262130048 its reverse (84003126215031), we get a palindrome (97054388345079).

The spelling of 13051262130048 in words is "thirteen trillion, fifty-one billion, two hundred sixty-two million, one hundred thirty thousand, forty-eight".