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166203664 = 241122932
BaseRepresentation
bin10011110100000…
…01000100010000
3102120202000120021
421322001010100
5320022004124
624254153224
74055464534
oct1172010420
9376660507
10166203664
11858aa300
12477b2814
1328583383
1418105bc4
15e8d07e4
hex9e81110

166203664 has 45 divisors (see below), whose sum is σ = 355167589. Its totient is φ = 75289280.

The previous prime is 166203641. The next prime is 166203671. The reversal of 166203664 is 466302661.

The square root of 166203664 is 12892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 157251600 + 8952064 = 12540^2 + 2992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 567102 + ... + 567394.

Almost surely, 2166203664 is an apocalyptic number.

166203664 is the 12892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166203664

166203664 is an abundant number, since it is smaller than the sum of its proper divisors (188963925).

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

166203664 is an equidigital number, since it uses as much as digits as its factorization.

166203664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The cubic root of 166203664 is about 549.8111351530.

The spelling of 166203664 in words is "one hundred sixty-six million, two hundred three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 293 484 586 968 1172 1936 2344 3223 4688 6446 12892 25784 35453 51568 70906 85849 141812 171698 283624 343396 567248 686792 944339 1373584 1888678 3777356 7554712 10387729 15109424 20775458 41550916 83101832 166203664