| Base | Representation |
|---|---|
| bin | 1001001011010100000101… |
| … | …0000000100100000000000 |
| 3 | 1022201120222120010122120100 |
| 4 | 2102311001100010200000 |
| 5 | 2310303231031110310 |
| 6 | 33243134120442400 |
| 7 | 2060655635432430 |
| oct | 222650120044000 |
| 9 | 38646876118510 |
| 10 | 10089972910080 |
| 11 | 3240151732048 |
| 12 | 116b607619400 |
| 13 | 58263248425b |
| 14 | 26c5005b82c0 |
| 15 | 1276e3c1cec0 |
| hex | 92d41404800 |
10089972910080 has 1152 divisors, whose sum is σ = 43117590297600. Its totient is φ = 2129538318336.
The previous prime is 10089972910079. The next prime is 10089972910081. The reversal of 10089972910080 is 8001927998001.
It is an interprime number because it is at equal distance from previous prime (10089972910079) and next prime (10089972910081).
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×100899729100802 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10089972909999 and 10089972910026.
It is not an unprimeable number, because it can be changed into a prime (10089972910081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 581244441 + ... + 581261799.
It is an arithmetic number, because the mean of its divisors is an integer number (37428463800).
Almost surely, 210089972910080 is an apocalyptic number.
10089972910080 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 10089972910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558795148800).
10089972910080 is an abundant number, since it is smaller than the sum of its proper divisors (33027617387520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10089972910080 is a wasteful number, since it uses less digits than its factorization.
10089972910080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17469 (or 17446 counting only the distinct ones).
The product of its (nonzero) digits is 653184, while the sum is 54.
The spelling of 10089972910080 in words is "ten trillion, eighty-nine billion, nine hundred seventy-two million, nine hundred ten thousand, eighty".
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