| Base | Representation |
|---|---|
| bin | 11110100110100001011011… |
| … | …100001000001001011010000 |
| 3 | 122122112112210001222010211100 |
| 4 | 132212201123201001023100 |
| 5 | 120120100003411212210 |
| 6 | 1154125055135544400 |
| 7 | 40230464506045500 |
| oct | 3646413341011320 |
| 9 | 578475701863740 |
| 10 | 134588630569680 |
| 11 | 3997a799269091 |
| 12 | 1311821808b100 |
| 13 | 5a138656b6551 |
| 14 | 25341a57c7a00 |
| 15 | 1085e5c1ab5c0 |
| hex | 7a685b8412d0 |
134588630569680 has 720 divisors, whose sum is σ = 527321658539520. Its totient is φ = 30673517156352.
The previous prime is 134588630569661. The next prime is 134588630569703. The reversal of 134588630569680 is 86965036885431.
134588630569680 is a `hidden beast` number, since 1 + 3 + 4 + 58 + 8 + 6 + 3 + 0 + 569 + 6 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×1345886305696802 (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 = 134588630569599 and 134588630569608.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26987892147 + ... + 26987897133.
It is an arithmetic number, because the mean of its divisors is an integer number (732391192416).
Almost surely, 2134588630569680 is an apocalyptic number.
134588630569680 is a gapful number since it is divisible by the number (10) 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 134588630569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263660829269760).
134588630569680 is an abundant number, since it is smaller than the sum of its proper divisors (392733027969840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134588630569680 is a wasteful number, since it uses less digits than its factorization.
134588630569680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7096 (or 7080 counting only the distinct ones).
The product of its (nonzero) digits is 895795200, while the sum is 72.
The spelling of 134588630569680 in words is "one hundred thirty-four trillion, five hundred eighty-eight billion, six hundred thirty million, five hundred sixty-nine thousand, six hundred eighty".
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