| Base | Representation |
|---|---|
| bin | 11111010001100011111… |
| … | …01011000000000000000 |
| 3 | 10210201200022211210200000 |
| 4 | 33220301331120000000 |
| 5 | 120101214434343142 |
| 6 | 2141353310400000 |
| 7 | 140431044156450 |
| oct | 17506175300000 |
| 9 | 3721608753600 |
| 10 | 1074579996672 |
| 11 | 3847aa437286 |
| 12 | 154316800000 |
| 13 | 7a4425486a0 |
| 14 | 3a01d42dd60 |
| 15 | 1ce43eb814c |
| hex | fa31f58000 |
1074579996672 has 768 divisors, whose sum is σ = 3964848625920. Its totient is φ = 283214610432.
The previous prime is 1074579996667. The next prime is 1074579996703. The reversal of 1074579996672 is 2766999754701.
1074579996672 is a `hidden beast` number, since 10 + 7 + 457 + 9 + 9 + 96 + 6 + 72 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
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 1074579996672.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724598043 + ... + 724599525.
It is an arithmetic number, because the mean of its divisors is an integer number (5162563315).
Almost surely, 21074579996672 is an apocalyptic number.
1074579996672 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 1074579996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982424312960).
1074579996672 is an abundant number, since it is smaller than the sum of its proper divisors (2890268629248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1074579996672 is an frugal number, since it uses more digits than its factorization.
1074579996672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1548 (or 1508 counting only the distinct ones).
The product of its (nonzero) digits is 360067680, while the sum is 72.
The spelling of 1074579996672 in words is "one trillion, seventy-four billion, five hundred seventy-nine million, nine hundred ninety-six thousand, six hundred seventy-two".
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