Base | Representation |
---|---|
bin | 11101011111010110111… |
… | …01010100100100000000 |
3 | 10120212102100211201020000 |
4 | 32233223131110210000 |
5 | 113100133004143340 |
6 | 2053253322120000 |
7 | 133130500613550 |
oct | 16575335244400 |
9 | 3525370751200 |
10 | 1013267646720 |
11 | 3607a719728a |
12 | 144465350000 |
13 | 74720c4b184 |
14 | 37084563160 |
15 | 1b556435d30 |
hex | ebeb754900 |
1013267646720 has 1440 divisors, whose sum is σ = 4427614033920. Its totient is φ = 216264867840.
The previous prime is 1013267646719. The next prime is 1013267646847. The reversal of 1013267646720 is 276467623101.
1013267646720 is a `hidden beast` number, since 101 + 3 + 2 + 67 + 6 + 467 + 20 = 666.
1013267646720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×10132676467202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 652457464 + ... + 652459016.
It is an arithmetic number, because the mean of its divisors is an integer number (3074731968).
Almost surely, 21013267646720 is an apocalyptic number.
1013267646720 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 1013267646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213807016960).
1013267646720 is an abundant number, since it is smaller than the sum of its proper divisors (3414346387200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013267646720 is a wasteful number, since it uses less digits than its factorization.
1013267646720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1653 (or 1630 counting only the distinct ones).
The product of its (nonzero) digits is 508032, while the sum is 45.
The spelling of 1013267646720 in words is "one trillion, thirteen billion, two hundred sixty-seven million, six hundred forty-six thousand, seven hundred twenty".
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