| Base | Representation |
|---|---|
| bin | 101111011110011011… |
| … | …1010100001001100000 |
| 3 | 100202011021022011020000 |
| 4 | 1132330313110021200 |
| 5 | 3132244413133424 |
| 6 | 114500403420000 |
| 7 | 10236326024034 |
| oct | 1367467241140 |
| 9 | 322137264200 |
| 10 | 101952864864 |
| 11 | 3a268809404 |
| 12 | 17913984600 |
| 13 | 97ca292696 |
| 14 | 4d1256a1c4 |
| 15 | 29ba8db3c9 |
| hex | 17bcdd4260 |
101952864864 has 240 divisors, whose sum is σ = 318051074880. Its totient is φ = 31947851520.
The previous prime is 101952864787. The next prime is 101952864869. The reversal of 101952864864 is 468468259101.
101952864864 is a `hidden beast` number, since 1 + 0 + 19 + 528 + 6 + 48 + 64 = 666.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
101952864864 is a modest number, since divided by 864864 gives 101952 as remainder.
It is a self number, because there is not a number n which added to its sum of digits gives 101952864864.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101952864869) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6443587 + ... + 6459389.
It is an arithmetic number, because the mean of its divisors is an integer number (1325212812).
Almost surely, 2101952864864 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101952864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159025537440).
101952864864 is an abundant number, since it is smaller than the sum of its proper divisors (216098210016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101952864864 is a wasteful number, since it uses less digits than its factorization.
101952864864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15975 (or 15958 counting only the distinct ones).
The product of its (nonzero) digits is 3317760, while the sum is 54.
The spelling of 101952864864 in words is "one hundred one billion, nine hundred fifty-two million, eight hundred sixty-four thousand, eight hundred sixty-four".
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