| Base | Representation |
|---|---|
| bin | 10001011100110000… |
| … | …101011100000000000 |
| 3 | 1210100202100020020020 |
| 4 | 101130300223200000 |
| 5 | 301332422243034 |
| 6 | 12335100213440 |
| 7 | 1232204340540 |
| oct | 213460534000 |
| 9 | 53322306206 |
| 10 | 18736134144 |
| 11 | 7a45071992 |
| 12 | 376a83a280 |
| 13 | 19c78b1a10 |
| 14 | c9a4cd320 |
| 15 | 749d17249 |
| hex | 45cc2b800 |
18736134144 has 768 divisors, whose sum is σ = 67629219840. Its totient is φ = 4476764160.
The previous prime is 18736134133. The next prime is 18736134149. The reversal of 18736134144 is 44143163781.
It is a tau number, because it is divible by the number of its divisors (768).
It is a super-2 number, since 2×187361341442 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (193536) is a multiple of the sum of its prime divisors (126).
It is a junction number, because it is equal to n+sod(n) for n = 18736134096 and 18736134105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18736134149) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398641129 + ... + 398641175.
It is an arithmetic number, because the mean of its divisors is an integer number (88058880).
Almost surely, 218736134144 is an apocalyptic number.
18736134144 is a gapful number since it is divisible by the number (14) 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 18736134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33814609920).
18736134144 is an abundant number, since it is smaller than the sum of its proper divisors (48893085696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18736134144 is a wasteful number, since it uses less digits than its factorization.
18736134144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 146 (or 126 counting only the distinct ones).
The product of its digits is 193536, while the sum is 42.
The spelling of 18736134144 in words is "eighteen billion, seven hundred thirty-six million, one hundred thirty-four thousand, one hundred forty-four".
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