Search a number
-
+
27844324016320 = 265712430501793
BaseRepresentation
bin1100101010011000000110…
…00010101100000011000000
310122120220001211000112210201
412111030003002230003000
512122200133422010240
6135115301133334544
75602454210015410
oct625140302540300
9118526054015721
1027844324016320
118965791009619
1231584bb937454
13126c929719006
146c395b3a2640
15334464c88d9a
hex1953030ac0c0

27844324016320 has 56 divisors (see below), whose sum is σ = 75776338936224. Its totient is φ = 9546625376256.

The previous prime is 27844324016297. The next prime is 27844324016321. The reversal of 27844324016320 is 2361042344872.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (27844324016321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6215248657 + ... + 6215253136.

Almost surely, 227844324016320 is an apocalyptic number.

27844324016320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27844324016320 is an abundant number, since it is smaller than the sum of its proper divisors (47932014919904).

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

27844324016320 is a wasteful number, since it uses less digits than its factorization.

27844324016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12430501817 (or 12430501807 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 27844324016320 in words is "twenty-seven trillion, eight hundred forty-four billion, three hundred twenty-four million, sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 12430501793 24861003586 49722007172 62152508965 87013512551 99444014344 124305017930 174027025102 198888028688 248610035860 348054050204 397776057376 435067562755 497220071720 696108100408 795552114752 870135125510 994440143440 1392216200816 1740270251020 1988880286880 2784432401632 3480540502040 3977760573760 5568864803264 6961081004080 13922162008160 27844324016320