Search a number
-
+
27006921648 = 2432726792581
BaseRepresentation
bin11001001001101111…
…001110101110110000
32120201011021202202100
4121021233032232300
5420302232443043
620223512020400
71644154021620
oct311157165660
976634252670
1027006921648
11104a9780a63
125298691700
132715265215
141442b24880
15a80ea0cd3
hex649bcebb0

27006921648 has 60 divisors (see below), whose sum is σ = 86379284368. Its totient is φ = 7716263040.

The previous prime is 27006921647. The next prime is 27006921649. The reversal of 27006921648 is 84612960072.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27006921647) and next prime (27006921649).

It is a super-2 number, since 2×270069216482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27006921647) 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 11 ways as a sum of consecutive naturals, for example, 13395283 + ... + 13397298.

Almost surely, 227006921648 is an apocalyptic number.

27006921648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27006921648 is an abundant number, since it is smaller than the sum of its proper divisors (59372362720).

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

27006921648 is a wasteful number, since it uses less digits than its factorization.

27006921648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26792602 (or 26792593 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27006921648 in words is "twenty-seven billion, six million, nine hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 26792581 53585162 80377743 107170324 160755486 187548067 214340648 241133229 321510972 375096134 428681296 482266458 562644201 643021944 750192268 964532916 1125288402 1286043888 1500384536 1687932603 1929065832 2250576804 3000769072 3375865206 3858131664 4501153608 6751730412 9002307216 13503460824 27006921648