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12053499048 = 23322313075569
BaseRepresentation
bin10110011100111000…
…11100110010101000
31011010000210012020200
423032130130302220
5144141143432143
65312020152200
7604461023433
oct131634346250
934100705220
1012053499048
115125982268
122404838660
1311a1276776
14824b8681a
154a82dc1d3
hex2ce71cca8

12053499048 has 96 divisors (see below), whose sum is σ = 34096420800. Its totient is φ = 3839514624.

The previous prime is 12053498981. The next prime is 12053499077. The reversal of 12053499048 is 84099435021.

12053499048 is a `hidden beast` number, since 1 + 20 + 534 + 9 + 90 + 4 + 8 = 666.

12053499048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12053498994 and 12053499012.

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 23 ways as a sum of consecutive naturals, for example, 2161608 + ... + 2167176.

It is an arithmetic number, because the mean of its divisors is an integer number (355171050).

Almost surely, 212053499048 is an apocalyptic number.

12053499048 is a gapful number since it is divisible by the number (18) 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 12053499048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17048210400).

12053499048 is an abundant number, since it is smaller than the sum of its proper divisors (22042921752).

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

12053499048 is a wasteful number, since it uses less digits than its factorization.

12053499048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12053499048 in words is "twelve billion, fifty-three million, four hundred ninety-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1307 1656 2614 3921 5228 5569 7842 10456 11138 11763 15684 16707 22276 23526 30061 31368 33414 44552 47052 50121 60122 66828 90183 94104 100242 120244 128087 133656 180366 200484 240488 256174 270549 360732 384261 400968 512348 541098 721464 768522 1024696 1082196 1152783 1537044 2164392 2305566 3074088 4611132 7278683 9222264 14557366 21836049 29114732 43672098 58229464 65508147 87344196 131016294 167409709 174688392 262032588 334819418 502229127 524065176 669638836 1004458254 1339277672 1506687381 2008916508 3013374762 4017833016 6026749524 12053499048