| Base | Representation |
|---|---|
| bin | 101000111101100010… |
| … | …1000010000000000000 |
| 3 | 22102001101021112010110 |
| 4 | 1101323011002000000 |
| 5 | 2420122322344100 |
| 6 | 104224335231320 |
| 7 | 6232556615340 |
| oct | 1217305020000 |
| 9 | 272041245113 |
| 10 | 87964262400 |
| 11 | 3433a595323 |
| 12 | 1506b078540 |
| 13 | 83ab144511 |
| 14 | 43867bcd20 |
| 15 | 244c7aa250 |
| hex | 147b142000 |
87964262400 has 672 divisors, whose sum is σ = 337195168128. Its totient is φ = 19818086400.
The previous prime is 87964262369. The next prime is 87964262401. The reversal of 87964262400 is 426246978.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×879642624002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 87964262400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (87964262401) 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 47 ways as a sum of consecutive naturals, for example, 485990310 + ... + 485990490.
It is an arithmetic number, because the mean of its divisors is an integer number (501778524).
Almost surely, 287964262400 is an apocalyptic number.
87964262400 is a gapful number since it is divisible by the number (80) 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 87964262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168597584064).
87964262400 is an abundant number, since it is smaller than the sum of its proper divisors (249230905728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87964262400 is a wasteful number, since it uses less digits than its factorization.
87964262400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 340 (or 311 counting only the distinct ones).
The product of its (nonzero) digits is 1161216, while the sum is 48.
The spelling of 87964262400 in words is "eighty-seven billion, nine hundred sixty-four million, two hundred sixty-two thousand, four hundred".
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