Base | Representation |
---|---|
bin | 100010110001111001100… |
… | …011111101010000000000 |
3 | 22110111010002100010002000 |
4 | 202301321203331100000 |
5 | 303124301032120012 |
6 | 5025545251224000 |
7 | 334450310505300 |
oct | 42617143752000 |
9 | 8414102303060 |
10 | 2390041285632 |
11 | 841679aa7730 |
12 | 327257ba8000 |
13 | 1444c290c000 |
14 | 83970199600 |
15 | 42285470ddc |
hex | 22c798fd400 |
2390041285632 has 2112 divisors, whose sum is σ = 9863762630400. Its totient is φ = 565187051520.
The previous prime is 2390041285627. The next prime is 2390041285633. The reversal of 2390041285632 is 2365821400932.
2390041285632 is a `hidden beast` number, since 2 + 3 + 9 + 0 + 0 + 4 + 1 + 2 + 8 + 5 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (2112).
It is a super-4 number, since 4×23900412856324 (a number of 51 digits) contains 4444 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2390041285633) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32740291548 + ... + 32740291620.
Almost surely, 22390041285632 is an apocalyptic number.
2390041285632 is a gapful number since it is divisible by the number (22) 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 2390041285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931881315200).
2390041285632 is an abundant number, since it is smaller than the sum of its proper divisors (7473721344768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2390041285632 is a wasteful number, since it uses less digits than its factorization.
2390041285632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 166 (or 109 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The spelling of 2390041285632 in words is "two trillion, three hundred ninety billion, forty-one million, two hundred eighty-five thousand, six hundred thirty-two".
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