Base | Representation |
---|---|
bin | 1001110011010101000110… |
… | …10000110110101100000000 |
3 | 2211022121220222220022112000 |
4 | 10321222203100312230000 |
5 | 10311123401024331330 |
6 | 113502102155504000 |
7 | 4353201100304400 |
oct | 471524320665400 |
9 | 84277828808460 |
10 | 21554884995840 |
11 | 6960414711119 |
12 | 2501593458000 |
13 | c04803530931 |
14 | 547394d00800 |
15 | 275a5a8b1560 |
hex | 139aa3436b00 |
21554884995840 has 3456 divisors, whose sum is σ = 100199862604800. Its totient is φ = 4347592704000.
The previous prime is 21554884995781. The next prime is 21554884995841. The reversal of 21554884995840 is 4859948845512.
21554884995840 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 4 + 88 + 499 + 58 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×215548849958402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (21554884995841) 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 383 ways as a sum of consecutive naturals, for example, 85876035715 + ... + 85876035965.
It is an arithmetic number, because the mean of its divisors is an integer number (28993015800).
Almost surely, 221554884995840 is an apocalyptic number.
21554884995840 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 21554884995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50099931302400).
21554884995840 is an abundant number, since it is smaller than the sum of its proper divisors (78644977608960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21554884995840 is a wasteful number, since it uses less digits than its factorization.
21554884995840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 488 (or 461 counting only the distinct ones).
The product of its (nonzero) digits is 663552000, while the sum is 72.
The spelling of 21554884995840 in words is "twenty-one trillion, five hundred fifty-four billion, eight hundred eighty-four million, nine hundred ninety-five thousand, eight hundred forty".
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