Search a number
-
+
22740026666544 = 24331137671919249
BaseRepresentation
bin1010010101110100100110…
…01101100010111000110000
32222111220222120001002111000
411022322103031202320300
510440033033311312134
6120210342442522000
74534625026300215
oct512722315427060
988456876032430
1022740026666544
117277a9a249520
122673204b06300
13c8c4b57431c5
145888a1d61b0c
152967c0e1de99
hex14ae93362e30

22740026666544 has 320 divisors, whose sum is σ = 73145318400000. Its totient is φ = 6703330037760.

The previous prime is 22740026666521. The next prime is 22740026666549. The reversal of 22740026666544 is 44566662004722.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22740026666549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1181351832 + ... + 1181371080.

It is an arithmetic number, because the mean of its divisors is an integer number (228579120000).

Almost surely, 222740026666544 is an apocalyptic number.

22740026666544 is a gapful number since it is divisible by the number (24) 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 22740026666544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572659200000).

22740026666544 is an abundant number, since it is smaller than the sum of its proper divisors (50405291733456).

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

22740026666544 is a wasteful number, since it uses less digits than its factorization.

22740026666544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26033 (or 26021 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 22740026666544 in words is "twenty-two trillion, seven hundred forty billion, twenty-six million, six hundred sixty-six thousand, five hundred forty-four".