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166283264 = 211721657
BaseRepresentation
bin10011110100101…
…00100000000000
3102120220001202102
421322110200000
5320032031024
624300005532
74056245600
oct1172244000
9376801672
10166283264
1185954094
12478308a8
13285b0684
1418126c00
15e8e91ae
hex9e94800

166283264 has 72 divisors (see below), whose sum is σ = 387002070. Its totient is φ = 71221248.

The previous prime is 166283251. The next prime is 166283281. The reversal of 166283264 is 462382661.

It can be written as a sum of positive squares in only one way, i.e., 151782400 + 14500864 = 12320^2 + 3808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99524 + ... + 101180.

Almost surely, 2166283264 is an apocalyptic number.

166283264 is a gapful number since it is divisible by the number (14) 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 166283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193501035).

166283264 is an abundant number, since it is smaller than the sum of its proper divisors (220718806).

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

166283264 is an equidigital number, since it uses as much as digits as its factorization.

166283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1666 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 166283264 is about 12895.0868163033. The cubic root of 166283264 is about 549.8988949139.

The spelling of 166283264 in words is "one hundred sixty-six million, two hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1657 1792 2048 3136 3314 3584 6272 6628 7168 11599 12544 13256 14336 23198 25088 26512 46396 50176 53024 81193 92792 100352 106048 162386 185584 212096 324772 371168 424192 649544 742336 848384 1299088 1484672 1696768 2598176 2969344 3393536 5196352 5938688 10392704 11877376 20785408 23754752 41570816 83141632 166283264