Base | Representation |
---|---|
bin | 100010111000010000100… |
… | …001100110001100000000 |
3 | 22111010201220212121220000 |
4 | 202320100201212030000 |
5 | 303232241430300132 |
6 | 5033034552520000 |
7 | 335111435202060 |
oct | 42702041461400 |
9 | 8433656777800 |
10 | 2396868993792 |
11 | 844563073949 |
12 | 3286426b0000 |
13 | 14504030c700 |
14 | 8401aca73a0 |
15 | 42534aa587c |
hex | 22e10866300 |
2396868993792 has 1080 divisors, whose sum is σ = 8907225465600. Its totient is φ = 627683696640.
The previous prime is 2396868993791. The next prime is 2396868993793. The reversal of 2396868993792 is 2973998686932.
2396868993792 is a `hidden beast` number, since 2 + 3 + 96 + 86 + 89 + 9 + 379 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (2396868993791) and next prime (2396868993793).
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2396868993791) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4881606667 + ... + 4881607157.
Almost surely, 22396868993792 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 2396868993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453612732800).
2396868993792 is an abundant number, since it is smaller than the sum of its proper divisors (6510356471808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2396868993792 is a wasteful number, since it uses less digits than its factorization.
2396868993792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 751 (or 715 counting only the distinct ones).
The product of its digits is 3809369088, while the sum is 81.
The spelling of 2396868993792 in words is "two trillion, three hundred ninety-six billion, eight hundred sixty-eight million, nine hundred ninety-three thousand, seven hundred ninety-two".
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