| Base | Representation |
|---|---|
| bin | 110001100001111011… |
| … | …0110111110010000000 |
| 3 | 101011112202210210110000 |
| 4 | 1203003312313302000 |
| 5 | 3220313440001410 |
| 6 | 120510302240000 |
| 7 | 10453553625012 |
| oct | 1430366676200 |
| 9 | 334482723400 |
| 10 | 106365156480 |
| 11 | 411223a3400 |
| 12 | 18745586000 |
| 13 | a05143a31b |
| 14 | 52105641b2 |
| 15 | 2b77e51dc0 |
| hex | 18c3db7c80 |
106365156480 has 960 divisors, whose sum is σ = 431776477440. Its totient is φ = 24908083200.
The previous prime is 106365156463. The next prime is 106365156497. The reversal of 106365156480 is 84651563601.
106365156480 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 6 + 5 + 1 + 564 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (106365156463) and next prime (106365156497).
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-3 number, since 3×1063651564803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 194451567 + ... + 194452113.
It is an arithmetic number, because the mean of its divisors is an integer number (449767164).
Almost surely, 2106365156480 is an apocalyptic number.
106365156480 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 106365156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215888238720).
106365156480 is an abundant number, since it is smaller than the sum of its proper divisors (325411320960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106365156480 is a wasteful number, since it uses less digits than its factorization.
106365156480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 631 (or 599 counting only the distinct ones).
The product of its (nonzero) digits is 518400, while the sum is 45.
The spelling of 106365156480 in words is "one hundred six billion, three hundred sixty-five million, one hundred fifty-six thousand, four hundred eighty".
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