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12148433028 = 2233195920289
BaseRepresentation
bin10110101000001101…
…00110000010000100
31011100122102100012000
423110012212002010
5144334444324103
65325251025300
7610022656044
oct132406460204
934318370160
1012148433028
1151745235a6
12243059b230
1311b7b35414
14833619724
154b17e0aa3
hex2d41a6084

12148433028 has 48 divisors (see below), whose sum is σ = 33153624000. Its totient is φ = 3836346624.

The previous prime is 12148433021. The next prime is 12148433069. The reversal of 12148433028 is 82033484121.

It is a happy number.

12148433028 is a `hidden beast` number, since 1 + 214 + 8 + 433 + 0 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12148432983 and 12148433001.

It is not an unprimeable number, because it can be changed into a prime (12148433021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2958093 + ... + 2962196.

It is an arithmetic number, because the mean of its divisors is an integer number (690700500).

Almost surely, 212148433028 is an apocalyptic number.

12148433028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12148433028 is an abundant number, since it is smaller than the sum of its proper divisors (21005190972).

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

12148433028 is a wasteful number, since it uses less digits than its factorization.

12148433028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920321 (or 5920313 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12148433028 in words is "twelve billion, one hundred forty-eight million, four hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 5920289 11840578 17760867 23681156 35521734 53282601 71043468 106565202 112485491 159847803 213130404 224970982 319695606 337456473 449941964 639391212 674912946 1012369419 1349825892 2024738838 3037108257 4049477676 6074216514 12148433028