Base | Representation |
---|---|
bin | 11011111110110100001110… |
… | …111010001010001101010000 |
3 | 121010201210120010121022120200 |
4 | 123332310032322022031100 |
5 | 112112234431200400342 |
6 | 1113422444113135200 |
7 | 34631035233033360 |
oct | 3376641672121520 |
9 | 533653503538520 |
10 | 123063948059472 |
11 | 36237144455512 |
12 | 1197674b25a500 |
13 | 5388b5a620a04 |
14 | 2256480ccc9a0 |
15 | e3629801294c |
hex | 6fed0ee8a350 |
123063948059472 has 960 divisors, whose sum is σ = 426988529270784. Its totient is φ = 32346179297280.
The previous prime is 123063948059419. The next prime is 123063948059527. The reversal of 123063948059472 is 274950849360321.
123063948059472 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 6 + 39 + 4 + 8 + 0 + 594 + 7 + 2 = 666.
It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9030883923 + ... + 9030897549.
It is a 1-persistent number, because it is pandigital, but 2⋅123063948059472 = 246127896118944 is not.
Almost surely, 2123063948059472 is an apocalyptic number.
123063948059472 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 123063948059472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213494264635392).
123063948059472 is an abundant number, since it is smaller than the sum of its proper divisors (303924581211312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123063948059472 is a wasteful number, since it uses less digits than its factorization.
123063948059472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13896 (or 13887 counting only the distinct ones).
The product of its (nonzero) digits is 78382080, while the sum is 63.
The spelling of 123063948059472 in words is "one hundred twenty-three trillion, sixty-three billion, nine hundred forty-eight million, fifty-nine thousand, four hundred seventy-two".
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