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148133495112 = 233233746115733
BaseRepresentation
bin1000100111110101110…
…0011100000101001000
3112011100200022020111220
42021331130130011020
54411334133320422
6152015050522040
713462612635021
oct2117534340510
9464320266456
10148133495112
1157906550429
1224861736320
1310c799756b5
147253925c48
153cbecdae5c
hex227d71c148

148133495112 has 128 divisors (see below), whose sum is σ = 397765589760. Its totient is φ = 45851857920.

The previous prime is 148133495093. The next prime is 148133495143. The reversal of 148133495112 is 211594331841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9407598 + ... + 9423330.

It is an arithmetic number, because the mean of its divisors is an integer number (3107543670).

Almost surely, 2148133495112 is an apocalyptic number.

148133495112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148133495112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198882794880).

148133495112 is an abundant number, since it is smaller than the sum of its proper divisors (249632094648).

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

148133495112 is a wasteful number, since it uses less digits than its factorization.

148133495112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16263 (or 16259 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

It can be divided in two parts, 14813 and 3495112, that added together give a triangular number (3509925 = T2649).

The spelling of 148133495112 in words is "one hundred forty-eight billion, one hundred thirty-three million, four hundred ninety-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 461 552 851 888 922 1383 1702 1844 2553 2766 3404 3688 5106 5532 6808 10212 10603 11064 15733 17057 20424 21206 31466 31809 34114 42412 47199 51171 62932 63618 68228 84824 94398 102342 125864 127236 136456 188796 204684 254472 361859 377592 392311 409368 582121 723718 784622 1085577 1164242 1176933 1447436 1569244 1746363 2171154 2328484 2353866 2894872 3138488 3492726 4342308 4656968 4707732 6985452 7252913 8684616 9415464 13388783 13970904 14505826 21758739 26777566 29011652 40166349 43517478 53555132 58023304 80332698 87034956 107110264 160665396 166816999 174069912 268357781 321330792 333633998 500450997 536715562 667267996 805073343 1000901994 1073431124 1334535992 1610146686 2001803988 2146862248 3220293372 4003607976 6172228963 6440586744 12344457926 18516686889 24688915852 37033373778 49377831704 74066747556 148133495112