Base | Representation |
---|---|
bin | 100001001010011000011… |
… | …011010101010110010000 |
3 | 22001212012202112012020200 |
4 | 201022120123111112100 |
5 | 244314131313002130 |
6 | 4502524012535200 |
7 | 323434006061556 |
oct | 41123033252620 |
9 | 8055182465220 |
10 | 2278889969040 |
11 | 7a9520a82403 |
12 | 3097b7781500 |
13 | 136b8aa349a9 |
14 | 7c428119bd6 |
15 | 3e42c257760 |
hex | 212986d5590 |
2278889969040 has 240 divisors, whose sum is σ = 8224414818048. Its totient is φ = 563419828224.
The previous prime is 2278889969039. The next prime is 2278889969143. The reversal of 2278889969040 is 409699888722.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×22788899690402 (a number of 26 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 2278889969040.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569352 + ... + 2209511.
Almost surely, 22278889969040 is an apocalyptic number.
2278889969040 is a gapful number since it is divisible by the number (20) 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 2278889969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112207409024).
2278889969040 is an abundant number, since it is smaller than the sum of its proper divisors (5945524849008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2278889969040 is a wasteful number, since it uses less digits than its factorization.
2278889969040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2778966 (or 2778957 counting only the distinct ones).
The product of its (nonzero) digits is 250822656, while the sum is 72.
The spelling of 2278889969040 in words is "two trillion, two hundred seventy-eight billion, eight hundred eighty-nine million, nine hundred sixty-nine thousand, forty".
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