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27918994012 = 22731323472
BaseRepresentation
bin11010000000000110…
…100000101001011100
32200001201111211211021
4122000012200221130
5424134230302022
620454212533524
72005600351000
oct320006405134
980051454737
1027918994012
11109275a9478
1254b20212a4
13282c1c7800
1414cbd04700
15ad60b47c7
hex6801a0a5c

27918994012 has 108 divisors (see below), whose sum is σ = 61875886800. Its totient is φ = 11013047136.

The previous prime is 27918994007. The next prime is 27918994027. The reversal of 27918994012 is 21049981972.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×279189940122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80458023 + ... + 80458369.

Almost surely, 227918994012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27918994012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30937943400).

27918994012 is an abundant number, since it is smaller than the sum of its proper divisors (33956892788).

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

27918994012 is an equidigital number, since it uses as much as digits as its factorization.

27918994012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 27918994012 in words is "twenty-seven billion, nine hundred eighteen million, nine hundred ninety-four thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 347 364 637 676 686 694 1183 1274 1372 1388 2366 2429 2548 4459 4511 4732 4858 8281 8918 9022 9716 16562 17003 17836 18044 31577 33124 34006 57967 58643 63154 68012 115934 117286 119021 120409 126308 221039 231868 234572 238042 240818 410501 442078 476084 481636 821002 842863 884156 1547273 1565317 1642004 1685726 2873507 3094546 3130634 3371452 5747014 5900041 6189092 6261268 10957219 11494028 11800082 20114549 20349121 21914438 23600164 40229098 40698242 41300287 43828876 76700533 80458196 81396484 82600574 142443847 153401066 165201148 284887694 306802132 536903731 569775388 997106929 1073807462 1994213858 2147614924 3988427716 6979748503 13959497006 27918994012