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27842301474 = 2313271938189
BaseRepresentation
bin11001111011100001…
…111100111000100010
32122212101012110102220
4121323201330320202
5424010112121344
620442433051510
72003646441411
oct317341747042
978771173386
1027842301474
1110898287209
1254903b6b96
132819354a00
1414c1a5d478
15ace4b5c19
hex67b87ce22

27842301474 has 48 divisors (see below), whose sum is σ = 60382972800. Its totient is φ = 8554723008.

The previous prime is 27842301433. The next prime is 27842301493. The reversal of 27842301474 is 47410324872.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 709972 + ... + 748160.

It is an arithmetic number, because the mean of its divisors is an integer number (1257978600).

Almost surely, 227842301474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27842301474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191486400).

27842301474 is an abundant number, since it is smaller than the sum of its proper divisors (32540671326).

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

27842301474 is a wasteful number, since it uses less digits than its factorization.

27842301474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38939 (or 38926 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 27842301474 in words is "twenty-seven billion, eight hundred forty-two million, three hundred one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 719 1014 1438 2157 4314 9347 18694 28041 38189 56082 76378 114567 121511 229134 243022 364533 496457 729066 992914 1489371 2978742 6453941 12907882 19361823 27457891 38723646 54915782 82373673 164747346 356952583 713905166 1070857749 2141715498 4640383579 9280767158 13921150737 27842301474