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27618310412 = 2272111492577
BaseRepresentation
bin11001101110001011…
…011111100100001100
32122021202201112110122
4121232023133210030
5423030241413122
620404312124112
71665256523300
oct315613374414
978252645418
1027618310412
11107928a8430
125429396638
1327b1b1a814
14149ddd3d00
15ab99bd142
hex66e2df90c

27618310412 has 108 divisors (see below), whose sum is σ = 61855587864. Its totient is φ = 10669639680.

The previous prime is 27618310411. The next prime is 27618310439. The reversal of 27618310412 is 21401381672.

It is not an unprimeable number, because it can be changed into a prime (27618310411) 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 35 ways as a sum of consecutive naturals, for example, 47865068 + ... + 47865644.

Almost surely, 227618310412 is an apocalyptic number.

27618310412 is a gapful number since it is divisible by the number (22) 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 27618310412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30927793932).

27618310412 is an abundant number, since it is smaller than the sum of its proper divisors (34237277452).

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

27618310412 is a wasteful number, since it uses less digits than its factorization.

27618310412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 27618310412 in words is "twenty-seven billion, six hundred eighteen million, three hundred ten thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 149 154 196 298 308 539 577 596 1043 1078 1154 1639 2086 2156 2308 3278 4039 4172 6347 6556 7301 8078 11473 12694 14602 16156 22201 22946 25388 28273 29204 44402 44429 45892 56546 80311 85973 88804 88858 113092 155407 160622 171946 177716 244211 310814 311003 321244 343892 488422 601811 621628 622006 945703 976844 1087849 1203622 1244012 1709477 1891406 2175698 2407244 3418954 3782812 4212677 4351396 6619921 6837908 8425354 11966339 12809977 13239842 16850708 23932678 25619954 26479684 46339447 47865356 51239908 89669839 92678894 140909747 179339678 185357788 281819494 358679356 563638988 627688873 986368229 1255377746 1972736458 2510755492 3945472916 6904577603 13809155206 27618310412