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18280570312272 = 2434116635585633
BaseRepresentation
bin1000010100000010001101…
…11001100101011001010000
32101201121100101011021112210
410022001012321211121100
54344002101444443042
6102513551132352120
73564504400563252
oct412010671453120
971647311137483
1018280570312272
115908823405594
122072a92015640
13a27b093a6428
14472ada283cd2
1521a7bd902a9c
hex10a046e65650

18280570312272 has 80 divisors (see below), whose sum is σ = 48405729835008. Its totient is φ = 5941325045760.

The previous prime is 18280570312271. The next prime is 18280570312289. The reversal of 18280570312272 is 27221307508281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18280570312271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 479968 + ... + 6065600.

Almost surely, 218280570312272 is an apocalyptic number.

18280570312272 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 18280570312272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24202864917504).

18280570312272 is an abundant number, since it is smaller than the sum of its proper divisors (30125159522736).

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

18280570312272 is a wasteful number, since it uses less digits than its factorization.

18280570312272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587348 (or 5587342 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 18280570312272 in words is "eighteen trillion, two hundred eighty billion, five hundred seventy million, three hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1663 1968 3326 4989 6652 9978 13304 19956 26608 39912 68183 79824 136366 204549 272732 409098 545464 818196 1090928 1636392 3272784 5585633 11171266 16756899 22342532 33513798 44685064 67027596 89370128 134055192 229010953 268110384 458021906 687032859 916043812 1374065718 1832087624 2748131436 3664175248 5496262872 9288907679 10992525744 18577815358 27866723037 37155630716 55733446074 74311261432 111466892148 148622522864 222933784296 380845214839 445867568592 761690429678 1142535644517 1523380859356 2285071289034 3046761718712 4570142578068 6093523437424 9140285156136 18280570312272