Search a number
-
+
12071327148 = 22321333125153
BaseRepresentation
bin10110011111000000…
…11101010110101100
31011011021022221210200
423033200131112230
5144210224432043
65313454233500
7605065405416
oct131740352654
934137287720
1012071327148
115134a49831
12240a7b5890
1311a4b7943a
148272a79b6
154a9b5e7d3
hex2cf81d5ac

12071327148 has 36 divisors (see below), whose sum is σ = 30517134648. Its totient is φ = 4023313920.

The previous prime is 12071327137. The next prime is 12071327161. The reversal of 12071327148 is 84172317021.

12071327148 is a `hidden beast` number, since 120 + 71 + 327 + 148 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×120713271482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467340 + ... + 492492.

Almost surely, 212071327148 is an apocalyptic number.

12071327148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12071327148 is an abundant number, since it is smaller than the sum of its proper divisors (18445807500).

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

12071327148 is a wasteful number, since it uses less digits than its factorization.

12071327148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38494 (or 38489 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12071327148 in words is "twelve billion, seventy-one million, three hundred twenty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 13331 25153 26662 39993 50306 53324 75459 79986 100612 119979 150918 159972 226377 239958 301836 452754 479916 905508 335314643 670629286 1005943929 1341258572 2011887858 3017831787 4023775716 6035663574 12071327148