| Base | Representation |
|---|---|
| bin | 11000011111111100010101… |
| … | …00111000111101100000000 |
| 3 | 21001202022110200100210000000 |
| 4 | 30033332022213013230000 |
| 5 | 24030133124134222030 |
| 6 | 310325230420000000 |
| 7 | 14230163266604640 |
| oct | 1417761247075400 |
| 9 | 231668420323000 |
| 10 | 53874100304640 |
| 11 | 16190972144150 |
| 12 | 60611b3230000 |
| 13 | 240a3c8c87945 |
| 14 | d4373dc62520 |
| 15 | 6365c7c41860 |
| hex | 30ff8a9c7b00 |
53874100304640 has 2304 divisors, whose sum is σ = 243614607667200. Its totient is φ = 11087078031360.
The previous prime is 53874100304567. The next prime is 53874100304659. The reversal of 53874100304640 is 4640300147835.
53874100304640 is a `hidden beast` number, since 5 + 3 + 87 + 4 + 100 + 3 + 0 + 464 + 0 = 666.
53874100304640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a hoax number, since the sum of its digits (45) 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 (45).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23495027334 + ... + 23495029626.
It is an arithmetic number, because the mean of its divisors is an integer number (105735506800).
Almost surely, 253874100304640 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 53874100304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121807303833600).
53874100304640 is an abundant number, since it is smaller than the sum of its proper divisors (189740507362560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53874100304640 is a wasteful number, since it uses less digits than its factorization.
53874100304640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2462 (or 2430 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 45.
The spelling of 53874100304640 in words is "fifty-three trillion, eight hundred seventy-four billion, one hundred million, three hundred four thousand, six hundred forty".
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