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21804094801440 = 2533572103004983
BaseRepresentation
bin1001111010100101010010…
…10100110100011000100000
32212012110011212010010201000
410331102221110310120200
510324214241232121230
6114212355102512000
74410202536560400
oct475225124643040
985173155103630
1021804094801440
116a470790a1646
122541943295600
13c2216a990b73
145554767ba800
1527c29413db60
hex13d4a9534620

21804094801440 has 288 divisors, whose sum is σ = 88773815410560. Its totient is φ = 4983793049088.

The previous prime is 21804094801421. The next prime is 21804094801493. The reversal of 21804094801440 is 4410849040812.

21804094801440 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 40 + 94 + 80 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×218040948014402 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 51290812 + ... + 51714171.

It is an arithmetic number, because the mean of its divisors is an integer number (308242414620).

Almost surely, 221804094801440 is an apocalyptic number.

21804094801440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21804094801440 is an abundant number, since it is smaller than the sum of its proper divisors (66969720609120).

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

21804094801440 is a wasteful number, since it uses less digits than its factorization.

21804094801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103005021 (or 103005000 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 21804094801440 in words is "twenty-one trillion, eight hundred four billion, ninety-four million, eight hundred one thousand, four hundred forty".