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166663008 = 253521433
BaseRepresentation
bin10011110111100…
…01001101100000
3102121121100200000
421323301031200
5320131204013
624312100000
74062416661
oct1173611540
9377540600
10166663008
1186093426
1247994600
13286b4485
14181c5368
15e971973
hex9ef1360

166663008 has 72 divisors (see below), whose sum is σ = 491524488. Its totient is φ = 55551744.

The previous prime is 166662997. The next prime is 166663009. The reversal of 166663008 is 800366661.

166663008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166663009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2941 + ... + 18492.

It is an arithmetic number, because the mean of its divisors is an integer number (6826729).

Almost surely, 2166663008 is an apocalyptic number.

166663008 is a gapful number since it is divisible by the number (18) 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 166663008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245762244).

166663008 is an abundant number, since it is smaller than the sum of its proper divisors (324861480).

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

166663008 is an equidigital number, since it uses as much as digits as its factorization.

166663008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21458 (or 21438 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166663008 is about 12909.8027870297. The cubic root of 166663008 is about 550.3171812359.

The spelling of 166663008 in words is "one hundred sixty-six million, six hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 21433 42866 64299 85732 128598 171464 192897 257196 342928 385794 514392 578691 685856 771588 1028784 1157382 1543176 1736073 2057568 2314764 3086352 3472146 4629528 5208219 6172704 6944292 9259056 10416438 13888584 18518112 20832876 27777168 41665752 55554336 83331504 166663008