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12481148232 = 2332724764183
BaseRepresentation
bin10111001111110111…
…10011010101001000
31012012211111000122100
423213323303111020
5201030133220412
65422254153400
7621203003160
oct134773632510
935184430570
1012481148232
115325312443
122503ab2860
13123ba49017
148658a75a0
154d0b12edc
hex2e7ef3548

12481148232 has 48 divisors (see below), whose sum is σ = 38632127040. Its totient is φ = 3566042208.

The previous prime is 12481148231. The next prime is 12481148311. The reversal of 12481148232 is 23284118421.

12481148232 is a `hidden beast` number, since 1 + 2 + 481 + 148 + 2 + 32 = 666.

It is a super-2 number, since 2×124811482322 (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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12481148231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12381588 + ... + 12382595.

It is an arithmetic number, because the mean of its divisors is an integer number (804835980).

Almost surely, 212481148232 is an apocalyptic number.

12481148232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12481148232 is an abundant number, since it is smaller than the sum of its proper divisors (26150978808).

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

12481148232 is a wasteful number, since it uses less digits than its factorization.

12481148232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24764202 (or 24764195 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The spelling of 12481148232 in words is "twelve billion, four hundred eighty-one million, one hundred forty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 24764183 49528366 74292549 99056732 148585098 173349281 198113464 222877647 297170196 346698562 445755294 520047843 594340392 693397124 891510588 1040095686 1386794248 1560143529 1783021176 2080191372 3120287058 4160382744 6240574116 12481148232