| Base | Representation |
|---|---|
| bin | 1011110101000111000101… |
| … | …0111100001010011110000 |
| 3 | 1201001110111120201020200000 |
| 4 | 2331101301113201103300 |
| 5 | 3201101431104312230 |
| 6 | 43355210124230000 |
| 7 | 2511505100656500 |
| oct | 275216127412360 |
| 9 | 51043446636600 |
| 10 | 13007062963440 |
| 11 | 416529aa49767 |
| 12 | 1560a3309b300 |
| 13 | 73473a038120 |
| 14 | 32d78c091a00 |
| 15 | 17852478bb60 |
| hex | bd4715e14f0 |
13007062963440 has 2160 divisors, whose sum is σ = 58692659616864. Its totient is φ = 2653390172160.
The previous prime is 13007062963439. The next prime is 13007062963441. The reversal of 13007062963440 is 4436926070031.
13007062963440 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 7 + 0 + 6 + 2 + 9 + 634 + 4 + 0 = 666.
13007062963440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13007062963439) and next prime (13007062963441).
It is a tau number, because it is divible by the number of its divisors (2160).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13007062963441) by changing a digit.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11900331534 + ... + 11900332626.
Almost surely, 213007062963440 is an apocalyptic number.
13007062963440 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 13007062963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29346329808432).
13007062963440 is an abundant number, since it is smaller than the sum of its proper divisors (45685596653424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13007062963440 is a wasteful number, since it uses less digits than its factorization.
13007062963440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1210 (or 1154 counting only the distinct ones).
The product of its (nonzero) digits is 653184, while the sum is 45.
The spelling of 13007062963440 in words is "thirteen trillion, seven billion, sixty-two million, nine hundred sixty-three thousand, four hundred forty".
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