Base | Representation |
---|---|
bin | 100010001110111111000… |
… | …011011001111110100000 |
3 | 22022220100102111001020022 |
4 | 202032333003121332200 |
5 | 302021011411431000 |
6 | 5000425255333012 |
7 | 331652304621242 |
oct | 42167703317640 |
9 | 8286312431208 |
10 | 2352552452000 |
11 | 82779158a0a3 |
12 | 31bb35081168 |
13 | 140ac9b9860a |
14 | 81c15308092 |
15 | 412de16d585 |
hex | 223bf0d9fa0 |
2352552452000 has 96 divisors (see below), whose sum is σ = 5781925500624. Its totient is φ = 940743552000.
The previous prime is 2352552451987. The next prime is 2352552452009. The reversal of 2352552452000 is 2542552532.
It can be written as a sum of positive squares in 8 ways, for example, as 8064758416 + 2344487693584 = 89804^2 + 1531172^2 .
It is a super-2 number, since 2×23525524520002 (a number of 26 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2352552452009) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13759034 + ... + 13928966.
Almost surely, 22352552452000 is an apocalyptic number.
2352552452000 is a gapful number since it is divisible by the number (20) 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 2352552452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890962750312).
2352552452000 is an abundant number, since it is smaller than the sum of its proper divisors (3429373048624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2352552452000 is a wasteful number, since it uses less digits than its factorization.
2352552452000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 173419 (or 173401 counting only the distinct ones).
The product of its (nonzero) digits is 120000, while the sum is 35.
The spelling of 2352552452000 in words is "two trillion, three hundred fifty-two billion, five hundred fifty-two million, four hundred fifty-two thousand".
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