Base | Representation |
---|---|
bin | 1010010000111011100101… |
… | …11101111111111111100100 |
3 | 2221220212020020100100010100 |
4 | 11020131302331333333210 |
5 | 10424304404342333004 |
6 | 120001231514224100 |
7 | 4516525520204100 |
oct | 510356275777744 |
9 | 87825206310110 |
10 | 22571981996004 |
11 | 72127a6428311 |
12 | 2646727125030 |
13 | c796b4922acc |
14 | 5806bdc76900 |
15 | 2922380b0739 |
hex | 148772f7ffe4 |
22571981996004 has 729 divisors, whose sum is σ = 71094745790523. Its totient is φ = 6020464665600.
The previous prime is 22571981995931. The next prime is 22571981996009. The reversal of 22571981996004 is 40069918917522.
The square root of 22571981996004 is 4750998.
It is a perfect power (a square), and thus also a powerful number.
22571981996004 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 9 + 8 + 19 + 9 + 600 + 4 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 13759633522404 + 8812348473600 = 3709398^2 + 2968560^2 .
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (22571981996009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 253617775192 + ... + 253617775280.
Almost surely, 222571981996004 is an apocalyptic number.
22571981996004 is the 4750998-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22571981996004
22571981996004 is an abundant number, since it is smaller than the sum of its proper divisors (48522763794519).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22571981996004 is a wasteful number, since it uses less digits than its factorization.
22571981996004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 346 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 19595520, while the sum is 63.
The spelling of 22571981996004 in words is "twenty-two trillion, five hundred seventy-one billion, nine hundred eighty-one million, nine hundred ninety-six thousand, four".
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