| Base | Representation |
|---|---|
| bin | 10010110001001100… |
| … | …101110100000100000 |
| 3 | 1221000110222220220200 |
| 4 | 102301030232200200 |
| 5 | 312233102211030 |
| 6 | 13131423505200 |
| 7 | 1312255512120 |
| oct | 226114564040 |
| 9 | 57013886820 |
| 10 | 20152772640 |
| 11 | 8601795400 |
| 12 | 3aa5158200 |
| 13 | 1b92237850 |
| 14 | d926d2c80 |
| 15 | 7ce396d60 |
| hex | 4b132e820 |
20152772640 has 1728 divisors, whose sum is σ = 98379380736. Its totient is φ = 3649536000.
The previous prime is 20152772639. The next prime is 20152772641. The reversal of 20152772640 is 4627725102.
It is a happy number.
20152772640 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 2 + 7 + 7 + 2 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (20152772639) and next prime (20152772641).
It is a super-2 number, since 2×201527726402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 20152772595 and 20152772604.
It is not an unprimeable number, because it can be changed into a prime (20152772641) by changing a digit.
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 287 ways as a sum of consecutive naturals, for example, 491531020 + ... + 491531060.
It is an arithmetic number, because the mean of its divisors is an integer number (56932512).
Almost surely, 220152772640 is an apocalyptic number.
20152772640 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 20152772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49189690368).
20152772640 is an abundant number, since it is smaller than the sum of its proper divisors (78226608096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20152772640 is a wasteful number, since it uses less digits than its factorization.
20152772640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 135 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 47040, while the sum is 36.
The spelling of 20152772640 in words is "twenty billion, one hundred fifty-two million, seven hundred seventy-two thousand, six hundred forty".
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