Base | Representation |
---|---|
bin | 10101111011100011001101… |
… | …000110001111101000000000 |
3 | 110122111122110211000100000000 |
4 | 111323203031012033220000 |
5 | 100120224103000040440 |
6 | 541045025400000000 |
7 | 26213241210512400 |
oct | 2573431506175000 |
9 | 418448424010000 |
10 | 96451226565120 |
11 | 2880680aa10539 |
12 | a998a88760000 |
13 | 41a840889144b |
14 | 19b639b24c800 |
15 | b23db75d9730 |
hex | 57b8cd18fa00 |
96451226565120 has 1080 divisors, whose sum is σ = 403502610875364. Its totient is φ = 22045806526464.
The previous prime is 96451226565103. The next prime is 96451226565121. The reversal of 96451226565120 is 2156562215469.
96451226565120 is a `hidden beast` number, since 9 + 6 + 4 + 51 + 2 + 2 + 6 + 565 + 1 + 20 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 85123209298176 + 11328017266944 = 9226224^2 + 3365712^2 .
It is a tau number, because it is divible by the number of its divisors (1080).
It is a super-2 number, since 2×964512265651202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (96451226565121) by changing a digit.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 822953244 + ... + 823070436.
Almost surely, 296451226565120 is an apocalyptic number.
96451226565120 is a gapful number since it is divisible by the number (90) 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 96451226565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201751305437682).
96451226565120 is an abundant number, since it is smaller than the sum of its proper divisors (307051384310244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
96451226565120 is an frugal number, since it uses more digits than its factorization.
96451226565120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 117254 (or 117210 counting only the distinct ones).
The product of its (nonzero) digits is 7776000, while the sum is 54.
The spelling of 96451226565120 in words is "ninety-six trillion, four hundred fifty-one billion, two hundred twenty-six million, five hundred sixty-five thousand, one hundred twenty".
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