| Base | Representation |
|---|---|
| bin | 11101111111001101000101… |
| … | …111100010110111100000000 |
| 3 | 122021222020201021021210000000 |
| 4 | 131333031011330112330000 |
| 5 | 114241313012424140033 |
| 6 | 1144255532420000000 |
| 7 | 36531334135652040 |
| oct | 3577150574267400 |
| 9 | 567866637253000 |
| 10 | 131886734208768 |
| 11 | 390289391a9690 |
| 12 | 12960648530000 |
| 13 | 5878b33b56bc6 |
| 14 | 247d4cdc35720 |
| 15 | 103aa238d6a13 |
| hex | 77f345f16f00 |
131886734208768 has 4608 divisors, whose sum is σ = 544961455718400. Its totient is φ = 30851186688000.
The previous prime is 131886734208701. The next prime is 131886734208787. The reversal of 131886734208768 is 867802437688131.
131886734208768 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 8 + 67 + 3 + 420 + 87 + 68 = 666.
It is a super-2 number, since 2×1318867342087682 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 131886734208696 and 131886734208705.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1588996797655 + ... + 1588996797737.
It is an arithmetic number, because the mean of its divisors is an integer number (118264204800).
Almost surely, 2131886734208768 is an apocalyptic number.
131886734208768 is a gapful number since it is divisible by the number (18) 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 131886734208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272480727859200).
131886734208768 is an abundant number, since it is smaller than the sum of its proper divisors (413074721509632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131886734208768 is an equidigital number, since it uses as much as digits as its factorization.
131886734208768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 239 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 520224768, while the sum is 72.
The spelling of 131886734208768 in words is "one hundred thirty-one trillion, eight hundred eighty-six billion, seven hundred thirty-four million, two hundred eight thousand, seven hundred sixty-eight".
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