| Base | Representation |
|---|---|
| bin | 11111010110100000100001… |
| … | …011011000001001011100000 |
| 3 | 200002012210100201022101110000 |
| 4 | 133112200201123001023200 |
| 5 | 121033111404321123012 |
| 6 | 1205132012551540000 |
| 7 | 41020643230410660 |
| oct | 3726404133011340 |
| 9 | 602183321271400 |
| 10 | 137886190801632 |
| 11 | 3aa31229027229 |
| 12 | 1356b32638a600 |
| 13 | 5bc27c5744300 |
| 14 | 2609a277b01a0 |
| 15 | 10e1b09cceddc |
| hex | 7d68216c12e0 |
137886190801632 has 2880 divisors, whose sum is σ = 583744975672320. Its totient is φ = 31010136588288.
The previous prime is 137886190801453. The next prime is 137886190801661. The reversal of 137886190801632 is 236108091688731.
137886190801632 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 8 + 619 + 0 + 8 + 0 + 1 + 6 + 3 + 2 = 666.
It is a super-2 number, since 2×1378861908016322 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 137886190801632.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 22779807118 + ... + 22779813170.
It is an arithmetic number, because the mean of its divisors is an integer number (202689227664).
Almost surely, 2137886190801632 is an apocalyptic number.
137886190801632 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 137886190801632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291872487836160).
137886190801632 is an abundant number, since it is smaller than the sum of its proper divisors (445858784870688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137886190801632 is a wasteful number, since it uses less digits than its factorization.
137886190801632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6167 (or 6137 counting only the distinct ones).
The product of its (nonzero) digits is 20901888, while the sum is 63.
The spelling of 137886190801632 in words is "one hundred thirty-seven trillion, eight hundred eighty-six billion, one hundred ninety million, eight hundred one thousand, six hundred thirty-two".
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