Base | Representation |
---|---|
bin | 1000110111110111011… |
… | …0100110010011000000 |
3 | 112120110110221120212121 |
4 | 2031331312212103000 |
5 | 4444141420220000 |
6 | 154010001534024 |
7 | 14004326561365 |
oct | 2157566462300 |
9 | 476413846777 |
10 | 152435320000 |
11 | 59713845107 |
12 | 25662344314 |
13 | 114b3c83702 |
14 | 7540da646c |
15 | 3e727d0b1a |
hex | 237dda64c0 |
152435320000 has 140 divisors (see below), whose sum is σ = 378783250560. Its totient is φ = 60846208000.
The previous prime is 152435319991. The next prime is 152435320033. The reversal of 152435320000 is 23534251.
152435320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20356257 + ... + 20363743.
Almost surely, 2152435320000 is an apocalyptic number.
152435320000 is a gapful number since it is divisible by the number (10) 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 152435320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189391625280).
152435320000 is an abundant number, since it is smaller than the sum of its proper divisors (226347930560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152435320000 is an frugal number, since it uses more digits than its factorization.
152435320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8028 (or 8003 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 25.
Adding to 152435320000 its reverse (23534251), we get a palindrome (152458854251).
The spelling of 152435320000 in words is "one hundred fifty-two billion, four hundred thirty-five million, three hundred twenty thousand".
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