| Base | Representation |
|---|---|
| bin | 11111000111110111111… |
| … | …110001011010111000000 |
| 3 | 21120110111210102022100000 |
| 4 | 133013313332023113000 |
| 5 | 240020134302033140 |
| 6 | 4314310552200000 |
| 7 | 310343304460560 |
| oct | 37076776132700 |
| 9 | 7513453368300 |
| 10 | 2138759017920 |
| 11 | 7550517877a8 |
| 12 | 2a660a099000 |
| 13 | 1268b7cb3335 |
| 14 | 75733360da0 |
| 15 | 3a979cbaa30 |
| hex | 1f1f7f8b5c0 |
2138759017920 has 672 divisors, whose sum is σ = 8733657074688. Its totient is φ = 488023252992.
The previous prime is 2138759017903. The next prime is 2138759017921. The reversal of 2138759017920 is 297109578312.
It is a happy number.
2138759017920 is a `hidden beast` number, since 2 + 1 + 38 + 7 + 590 + 17 + 9 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×21387590179202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2138759017921) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352172004 + ... + 352178076.
It is an arithmetic number, because the mean of its divisors is an integer number (12996513504).
Almost surely, 22138759017920 is an apocalyptic number.
2138759017920 is a gapful number since it is divisible by the number (20) 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 2138759017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366828537344).
2138759017920 is an abundant number, since it is smaller than the sum of its proper divisors (6594898056768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2138759017920 is an equidigital number, since it uses as much as digits as its factorization.
2138759017920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6759 (or 6737 counting only the distinct ones).
The product of its (nonzero) digits is 1905120, while the sum is 54.
The spelling of 2138759017920 in words is "two trillion, one hundred thirty-eight billion, seven hundred fifty-nine million, seventeen thousand, nine hundred twenty".
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