Base | Representation |
---|---|
bin | 10000111010010010101111… |
… | …101001001001000000000000 |
3 | 100202100010211210020022020000 |
4 | 100322102233221021000000 |
5 | 34222023140211320404 |
6 | 422103115250120000 |
7 | 21444246635225400 |
oct | 2072225751110000 |
9 | 322303753208200 |
10 | 74374600495104 |
11 | 21775100046128 |
12 | 8412367280000 |
13 | 3266657c0a120 |
14 | 1451a6d908800 |
15 | 88e9c25b0339 |
hex | 43a4afa49000 |
74374600495104 has 3120 divisors, whose sum is σ = 298848795936768. Its totient is φ = 18203705081856.
The previous prime is 74374600495093. The next prime is 74374600495109. The reversal of 74374600495104 is 40159400647347.
74374600495104 is a `hidden beast` number, since 7 + 4 + 3 + 7 + 46 + 0 + 0 + 495 + 104 = 666.
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 (74374600495109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 456285892527 + ... + 456285892689.
Almost surely, 274374600495104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 74374600495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149424397968384).
74374600495104 is an abundant number, since it is smaller than the sum of its proper divisors (224474195441664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74374600495104 is a wasteful number, since it uses less digits than its factorization.
74374600495104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 370 (or 332 counting only the distinct ones).
The product of its (nonzero) digits is 10160640, while the sum is 54.
The spelling of 74374600495104 in words is "seventy-four trillion, three hundred seventy-four billion, six hundred million, four hundred ninety-five thousand, one hundred four".
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