| Base | Representation |
|---|---|
| bin | 10010111010001000… |
| … | …11101001010000000 |
| 3 | 222012110121201111100 |
| 4 | 21131010131022000 |
| 5 | 131242223234210 |
| 6 | 4355151214400 |
| 7 | 506363223534 |
| oct | 113504351200 |
| 9 | 28173551440 |
| 10 | 10151383680 |
| 11 | 433a211899 |
| 12 | 1b73817400 |
| 13 | c5a182109 |
| 14 | 6c42cbbc4 |
| 15 | 3e63125c0 |
| hex | 25d11d280 |
10151383680 has 192 divisors, whose sum is σ = 35417327400. Its totient is φ = 2678980608.
The previous prime is 10151383657. The next prime is 10151383741. The reversal of 10151383680 is 8638315101.
10151383680 is a `hidden beast` number, since 1 + 0 + 1 + 513 + 83 + 68 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 6072773184 + 4078610496 = 77928^2 + 63864^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 549636 + ... + 567804.
Almost surely, 210151383680 is an apocalyptic number.
10151383680 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 10151383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708663700).
10151383680 is an abundant number, since it is smaller than the sum of its proper divisors (25265943720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10151383680 is a wasteful number, since it uses less digits than its factorization.
10151383680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18291 (or 18276 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 36.
Adding to 10151383680 its reverse (8638315101), we get a palindrome (18789698781).
It can be divided in two parts, 101513 and 83680, that added together give a cube (185193 = 573).
The spelling of 10151383680 in words is "ten billion, one hundred fifty-one million, three hundred eighty-three thousand, six hundred eighty".
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