| Base | Representation |
|---|---|
| bin | 101010101111010011010011… |
| … | …111000010100110001000000 |
| 3 | 220122112121120012022222010000 |
| 4 | 222233103103320110301000 |
| 5 | 144114133443343443330 |
| 6 | 1503435312144040000 |
| 7 | 54410163513413100 |
| oct | 5257232370246100 |
| 9 | 818477505288100 |
| 10 | 187968503499840 |
| 11 | 5498aaa3995828 |
| 12 | 190b967b603000 |
| 13 | 80b647a46bc6b |
| 14 | 345ba1cd69200 |
| 15 | 16ae75ae8c560 |
| hex | aaf4d3e14c40 |
187968503499840 has 840 divisors, whose sum is σ = 798824148332760. Its totient is φ = 41803023532032.
The previous prime is 187968503499827. The next prime is 187968503499871. The reversal of 187968503499840 is 48994305869781.
187968503499840 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 6 + 85 + 0 + 3 + 499 + 8 + 40 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 52176467395584 + 135792036104256 = 7223328^2 + 11652984^2 .
It is a tau number, because it is divible by the number of its divisors (840).
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a self number, because there is not a number n which added to its sum of digits gives 187968503499840.
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, 44992996 + ... + 48992924.
Almost surely, 2187968503499840 is an apocalyptic number.
187968503499840 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 187968503499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399412074166380).
187968503499840 is an abundant number, since it is smaller than the sum of its proper divisors (610855644832920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
187968503499840 is a wasteful number, since it uses less digits than its factorization.
187968503499840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4000009 (or 3999983 counting only the distinct ones).
The product of its (nonzero) digits is 3762339840, while the sum is 81.
The spelling of 187968503499840 in words is "one hundred eighty-seven trillion, nine hundred sixty-eight billion, five hundred three million, four hundred ninety-nine thousand, eight hundred forty".
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