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1821468508240 = 24554374187669
BaseRepresentation
bin11010100000010111111…
…110111100000001010000
320110010112021100101022111
4122200113332330001100
5214320331414230430
63512434315315104
7245411454602053
oct32402776740120
96403467311274
101821468508240
1164253153a687
1225501a14ba94
131029c0c37114
1464233b1aa9a
15325a969cc2a
hex1a817fbc050

1821468508240 has 40 divisors (see below), whose sum is σ = 4235694199560. Its totient is φ = 728453223936.

The previous prime is 1821468508177. The next prime is 1821468508259. The reversal of 1821468508240 is 428058641281.

It can be written as a sum of positive squares in 4 ways, for example, as 678125898256 + 1143342609984 = 823484^2 + 1069272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1658875 + ... + 2528794.

It is an arithmetic number, because the mean of its divisors is an integer number (105892354989).

Almost surely, 21821468508240 is an apocalyptic number.

1821468508240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1821468508240 is an abundant number, since it is smaller than the sum of its proper divisors (2414225691320).

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

1821468508240 is a wasteful number, since it uses less digits than its factorization.

1821468508240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193119 (or 4193113 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 1821468508240 in words is "one trillion, eight hundred twenty-one billion, four hundred sixty-eight million, five hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5437 10874 21748 27185 43496 54370 86992 108740 217480 434960 4187669 8375338 16750676 20938345 33501352 41876690 67002704 83753380 167506760 335013520 22768356353 45536712706 91073425412 113841781765 182146850824 227683563530 364293701648 455367127060 910734254120 1821468508240