Base | Representation |
---|---|
bin | 100010001110100010101… |
… | …010100110100100000000 |
3 | 22022212010020022022201100 |
4 | 202032202222212210000 |
5 | 302014023001003104 |
6 | 5000310123334400 |
7 | 331634432503212 |
oct | 42164252464400 |
9 | 8285106268640 |
10 | 2352076187904 |
11 | 827567764903 |
12 | 31ba21681400 |
13 | 140a52304241 |
14 | 81babd705b2 |
15 | 412b2443139 |
hex | 223a2aa6900 |
2352076187904 has 243 divisors, whose sum is σ = 6877827731593. Its totient is φ = 773056745472.
The previous prime is 2352076187861. The next prime is 2352076187911. The reversal of 2352076187904 is 4097816702532.
It is a happy number.
The square root of 2352076187904 is 1533648.
It is a perfect power (a square), and thus also a powerful number.
2352076187904 is a `hidden beast` number, since 23 + 520 + 7 + 6 + 1 + 8 + 7 + 90 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 451648514304 + 1900427673600 = 672048^2 + 1378560^2 .
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6551744077 + ... + 6551744435.
It is a 1-persistent number, because it is pandigital, but 2⋅2352076187904 = 4704152375808 is not.
Almost surely, 22352076187904 is an apocalyptic number.
2352076187904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
2352076187904 is the 1533648-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2352076187904
2352076187904 is an abundant number, since it is smaller than the sum of its proper divisors (4525751543689).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2352076187904 is an frugal number, since it uses more digits than its factorization.
2352076187904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 918 (or 453 counting only the distinct ones).
The product of its (nonzero) digits is 5080320, while the sum is 54.
The spelling of 2352076187904 in words is "two trillion, three hundred fifty-two billion, seventy-six million, one hundred eighty-seven thousand, nine hundred four".
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