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18321819722976 = 2537311291717341
BaseRepresentation
bin1000010101001111000011…
…00011100110010011100000
32101212112211010012110022210
410022213201203212103200
54400141041322113401
6102544532222402120
73600464526024000
oct412474143462340
971775733173283
1018321819722976
115924270648360
12207aa84430340
13a2b981260263
14474ad0764000
1521b8d4e354d6
hex10a9e18e64e0

18321819722976 has 384 divisors, whose sum is σ = 61210545177600. Its totient is φ = 4757008435200.

The previous prime is 18321819722963. The next prime is 18321819722977. The reversal of 18321819722976 is 67922791812381.

It is a super-2 number, since 2×183218197229762 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18321819722977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056552066 + ... + 1056569406.

It is an arithmetic number, because the mean of its divisors is an integer number (159402461400).

Almost surely, 218321819722976 is an apocalyptic number.

18321819722976 is a gapful number since it is divisible by the number (16) 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 18321819722976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30605272588800).

18321819722976 is an abundant number, since it is smaller than the sum of its proper divisors (42888725454624).

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

18321819722976 is a wasteful number, since it uses less digits than its factorization.

18321819722976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20303 (or 20281 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 66.

The spelling of 18321819722976 in words is "eighteen trillion, three hundred twenty-one billion, eight hundred nineteen million, seven hundred twenty-two thousand, nine hundred seventy-six".