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166394363520 = 273571119371601
BaseRepresentation
bin1001101011110111100…
…0000111111010000000
3120220111022100110201110
42122331320013322000
510211233424113040
6204235052403320
715010256516310
oct2327570077200
9526438313643
10166394363520
116462730a110
12282b9176540
13128c9c52588
1480a6c5b440
1544dd023980
hex26bde07e80

166394363520 has 1024 divisors, whose sum is σ = 715317350400. Its totient is φ = 31850496000.

The previous prime is 166394363497. The next prime is 166394363533. The reversal of 166394363520 is 25363493661.

It is a happy number.

166394363520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1663943635202 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 166394363520.

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 127 ways as a sum of consecutive naturals, for example, 103930720 + ... + 103932320.

It is an arithmetic number, because the mean of its divisors is an integer number (698552100).

Almost surely, 2166394363520 is an apocalyptic number.

166394363520 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 166394363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357658675200).

166394363520 is an abundant number, since it is smaller than the sum of its proper divisors (548922986880).

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

166394363520 is a wasteful number, since it uses less digits than its factorization.

166394363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 166394363520 in words is "one hundred sixty-six billion, three hundred ninety-four million, three hundred sixty-three thousand, five hundred twenty".