Base | Representation |
---|---|
bin | 10111010011000110100111… |
… | …101000101101111110000000 |
3 | 111102210211102110022011000000 |
4 | 113103012213220231332000 |
5 | 101412313122343443132 |
6 | 1001533025034000000 |
7 | 30404025530513313 |
oct | 2723064750557600 |
9 | 442724373264000 |
10 | 102467847249792 |
11 | 2a716408494322 |
12 | b5aab56876000 |
13 | 45238a4465cab |
14 | 1b436825bc97a |
15 | bca6557be87c |
hex | 5d31a7a2df80 |
102467847249792 has 224 divisors, whose sum is σ = 306488615292000. Its totient is φ = 34108421953536.
The previous prime is 102467847249751. The next prime is 102467847249793. The reversal of 102467847249792 is 297942748764201.
102467847249792 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 7 + 8 + 47 + 2 + 497 + 92 = 666.
102467847249792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 102467847249792.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102467847249793) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66327684 + ... + 67854972.
Almost surely, 2102467847249792 is an apocalyptic number.
102467847249792 is a gapful number since it is divisible by the number (12) 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 102467847249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153244307646000).
102467847249792 is an abundant number, since it is smaller than the sum of its proper divisors (204020768042208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102467847249792 is an frugal number, since it uses more digits than its factorization.
102467847249792 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1528040 (or 1528013 counting only the distinct ones).
The product of its (nonzero) digits is 682795008, while the sum is 72.
The spelling of 102467847249792 in words is "one hundred two trillion, four hundred sixty-seven billion, eight hundred forty-seven million, two hundred forty-nine thousand, seven hundred ninety-two".
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