| Base | Representation |
|---|---|
| bin | 10011010011000101100011… |
| … | …01110100101100100000000 |
| 3 | 12120020221222112002111000000 |
| 4 | 21221202301232211210000 |
| 5 | 21030243001204223232 |
| 6 | 230131224004000000 |
| 7 | 11636663554626660 |
| oct | 1151426156454400 |
| 9 | 176227875074000 |
| 10 | 42437258664192 |
| 11 | 125815a41a7107 |
| 12 | 4914760090000 |
| 13 | 1a8aa7c5c2412 |
| 14 | a69d8d5c61a0 |
| 15 | 4d8d555cc27c |
| hex | 2698b1ba5900 |
42437258664192 has 504 divisors, whose sum is σ = 147887489340864. Its totient is φ = 11896139354112.
The previous prime is 42437258664191. The next prime is 42437258664263. The reversal of 42437258664192 is 29146685273424.
42437258664192 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 7 + 2 + 586 + 6 + 41 + 9 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (504).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (42437258664191) 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 55 ways as a sum of consecutive naturals, for example, 68931043 + ... + 69543965.
It is an arithmetic number, because the mean of its divisors is an integer number (293427558216).
Almost surely, 242437258664192 is an apocalyptic number.
42437258664192 is a gapful number since it is divisible by the number (42) 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 42437258664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73943744670432).
42437258664192 is an abundant number, since it is smaller than the sum of its proper divisors (105450230676672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42437258664192 is an frugal number, since it uses more digits than its factorization.
42437258664192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 613017 (or 612988 counting only the distinct ones).
The product of its digits is 139345920, while the sum is 63.
The spelling of 42437258664192 in words is "forty-two trillion, four hundred thirty-seven billion, two hundred fifty-eight million, six hundred sixty-four thousand, one hundred ninety-two".
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