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166116352 = 210315233
BaseRepresentation
bin10011110011010…
…11110000000000
3102120120120210111
421321223300000
5320011210402
624252241104
74054652143
oct1171536000
9376516714
10166116352
118584a746
1247770194
13285526cc
14180c205a
15e8b49d7
hex9e6bc00

166116352 has 44 divisors (see below), whose sum is σ = 342847936. Its totient is φ = 80363520.

The previous prime is 166116343. The next prime is 166116463. The reversal of 166116352 is 253611661.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29128 + ... + 34360.

Almost surely, 2166116352 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 166116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171423968).

166116352 is an abundant number, since it is smaller than the sum of its proper divisors (176731584).

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

166116352 is an equidigital number, since it uses as much as digits as its factorization.

166116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5266 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 166116352 is about 12888.6132690837. The cubic root of 166116352 is about 549.7148406083.

The spelling of 166116352 in words is "one hundred sixty-six million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 3968 5233 7936 10466 15872 20932 31744 41864 83728 162223 167456 324446 334912 648892 669824 1297784 1339648 2595568 2679296 5191136 5358592 10382272 20764544 41529088 83058176 166116352