Base | Representation |
---|---|
bin | 101101001101000110… |
… | …0111111000111000000 |
3 | 100021120102022212002100 |
4 | 1122122030333013000 |
5 | 3042303023013000 |
6 | 112332443350400 |
7 | 10004433403242 |
oct | 1323214770700 |
9 | 307512285070 |
10 | 97076376000 |
11 | 381960a111a |
12 | 16992822400 |
13 | 9200bb9c06 |
14 | 49aca5a092 |
15 | 27d2730a00 |
hex | 169a33f1c0 |
97076376000 has 1008 divisors, whose sum is σ = 380560624704. Its totient is φ = 23569920000.
The previous prime is 97076375959. The next prime is 97076376011. The reversal of 97076376000 is 67367079.
97076376000 is a `hidden beast` number, since 9 + 7 + 0 + 7 + 6 + 37 + 600 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
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, 1591415970 + ... + 1591416030.
Almost surely, 297076376000 is an apocalyptic number.
97076376000 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 97076376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190280312352).
97076376000 is an abundant number, since it is smaller than the sum of its proper divisors (283484248704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97076376000 is a wasteful number, since it uses less digits than its factorization.
97076376000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 179 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 333396, while the sum is 45.
The spelling of 97076376000 in words is "ninety-seven billion, seventy-six million, three hundred seventy-six thousand".
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