Search a number
-
+
21355466401050 = 2352142369776007
BaseRepresentation
bin1001101101100001101001…
…11111010010010100011010
32210121120012011122002000220
410312300310333102110122
510244341443344313200
6113230322115140510
74332611236232325
oct466606477222432
983546164562026
1021355466401050
1168938910582a1
12248a9ba5a4736
13bbba727c9712
1453b8781257bc
152707884d54a0
hex136c34fd251a

21355466401050 has 24 divisors (see below), whose sum is σ = 52961556674976. Its totient is φ = 5694791040240.

The previous prime is 21355466401039. The next prime is 21355466401051. The reversal of 21355466401050 is 5010466455312.

It is a super-2 number, since 2×213554664010502 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21355466400993 and 21355466401011.

It is not an unprimeable number, because it can be changed into a prime (21355466401051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71184887854 + ... + 71184888153.

It is an arithmetic number, because the mean of its divisors is an integer number (2206731528124).

Almost surely, 221355466401050 is an apocalyptic number.

21355466401050 is an abundant number, since it is smaller than the sum of its proper divisors (31606090273926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21355466401050 is a wasteful number, since it uses less digits than its factorization.

21355466401050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142369776022 (or 142369776017 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 21355466401050 in words is "twenty-one trillion, three hundred fifty-five billion, four hundred sixty-six million, four hundred one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 142369776007 284739552014 427109328021 711848880035 854218656042 1423697760070 2135546640105 3559244400175 4271093280210 7118488800350 10677733200525 21355466401050