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166211303424 = 2113295997163
BaseRepresentation
bin1001101011001011110…
…1110011100000000000
3120220000112220001110220
42122302331303200000
510210400043202144
6204204553023040
715002604524355
oct2326275634000
9526015801426
10166211303424
1164542a47381
12282679b4a80
131289b0498aa
14808a80862c
1544cbe13919
hex26b2f73800

166211303424 has 384 divisors, whose sum is σ = 473866848000. Its totient is φ = 51725205504.

The previous prime is 166211303411. The next prime is 166211303473. The reversal of 166211303424 is 424303112661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1019701167 + ... + 1019701329.

It is an arithmetic number, because the mean of its divisors is an integer number (1234028250).

Almost surely, 2166211303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166211303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236933424000).

166211303424 is an abundant number, since it is smaller than the sum of its proper divisors (307655544576).

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

166211303424 is a wasteful number, since it uses less digits than its factorization.

166211303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 166211303424 in words is "one hundred sixty-six billion, two hundred eleven million, three hundred three thousand, four hundred twenty-four".