Search a number
-
+
26222185241728 = 27729265831743
BaseRepresentation
bin1011111011001010101000…
…00010010101110010000000
310102211211001011201210101221
411331211110002111302000
511414111013410213403
6131434150002004424
75344330123645120
oct575452402256200
9112754034653357
1026222185241728
11839a847a5a103
122b36050946714
131182983ca2668
1466923672cc80
15307174cb2dbd
hex17d954095c80

26222185241728 has 32 divisors (see below), whose sum is σ = 59702296757760. Its totient is φ = 11238079388928.

The previous prime is 26222185241701. The next prime is 26222185241729. The reversal of 26222185241728 is 82714258122262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (26222185241729) 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 3 ways as a sum of consecutive naturals, for example, 14632914976 + ... + 14632916767.

It is an arithmetic number, because the mean of its divisors is an integer number (1865696773680).

Almost surely, 226222185241728 is an apocalyptic number.

26222185241728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26222185241728 is an abundant number, since it is smaller than the sum of its proper divisors (33480111516032).

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

26222185241728 is an equidigital number, since it uses as much as digits as its factorization.

26222185241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29265831764 (or 29265831752 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The spelling of 26222185241728 in words is "twenty-six trillion, two hundred twenty-two billion, one hundred eighty-five million, two hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 29265831743 58531663486 117063326972 204860822201 234126653944 409721644402 468253307888 819443288804 936506615776 1638886577608 1873013231552 3277773155216 3746026463104 6555546310432 13111092620864 26222185241728