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166359348480 = 28351325712967
BaseRepresentation
bin1001101011101111001…
…0100011010100000000
3120220101212110112010010
42122323302203110000
510211200443122410
6204231402104520
715006353062533
oct2327362432400
9526355415103
10166359348480
1164609573866
12282a94ab140
13128c2912a10
1480a2344a1a
1544d9e08c20
hex26bbca3500

166359348480 has 288 divisors, whose sum is σ = 574450861824. Its totient is φ = 40787509248.

The previous prime is 166359348479. The next prime is 166359348497. The reversal of 166359348480 is 84843953661.

It is a self number, because there is not a number n which added to its sum of digits gives 166359348480.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12822957 + ... + 12835923.

It is an arithmetic number, because the mean of its divisors is an integer number (1994621048).

Almost surely, 2166359348480 is an apocalyptic number.

166359348480 is a gapful number since it is divisible by the number (10) 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 166359348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287225430912).

166359348480 is an abundant number, since it is smaller than the sum of its proper divisors (408091513344).

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

166359348480 is a wasteful number, since it uses less digits than its factorization.

166359348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13247 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 166359348480 in words is "one hundred sixty-six billion, three hundred fifty-nine million, three hundred forty-eight thousand, four hundred eighty".