Search a number
-
+
54183633286272 = 2737421209922811
BaseRepresentation
bin11000101000111100111000…
…01101101111010010000000
321002211220102120021110002220
430110132130031233102000
524100221040110130042
6311123341214011040
714261431641542550
oct1424363415572200
9232756376243086
1054183633286272
11162a0171475666
1260b11991a6a80
132430657ac8a89
14d547050b9160
1563e6922ac8ec
hex31479c36f480

54183633286272 has 256 divisors, whose sum is σ = 164962514304000. Its totient is φ = 15436231372800.

The previous prime is 54183633286219. The next prime is 54183633286273. The reversal of 54183633286272 is 27268233638145.

It is a super-2 number, since 2×541836332862722 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54183633286273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2375317747 + ... + 2375340557.

It is an arithmetic number, because the mean of its divisors is an integer number (644384821500).

Almost surely, 254183633286272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54183633286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82481257152000).

54183633286272 is an abundant number, since it is smaller than the sum of its proper divisors (110778881017728).

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

54183633286272 is a wasteful number, since it uses less digits than its factorization.

54183633286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25355 (or 25343 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 60.

The spelling of 54183633286272 in words is "fifty-four trillion, one hundred eighty-three billion, six hundred thirty-three million, two hundred eighty-six thousand, two hundred seventy-two".