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166152064 = 2713313221
BaseRepresentation
bin10011110011101…
…00011110000000
3102120122101210011
421321310132000
5320013331224
624253114304
74055161231
oct1171643600
9376571704
10166152064
1185874561
1247788994
1328565a40
14180d1088
15e8c0394
hex9e74780

166152064 has 64 divisors (see below), whose sum is σ = 368081280. Its totient is φ = 74188800.

The previous prime is 166152037. The next prime is 166152071. The reversal of 166152064 is 460251661.

It is a tau number, because it is divible by the number of its divisors (64).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49974 + ... + 53194.

It is an arithmetic number, because the mean of its divisors is an integer number (5751270).

Almost surely, 2166152064 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 166152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184040640).

166152064 is an abundant number, since it is smaller than the sum of its proper divisors (201929216).

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

166152064 is a wasteful number, since it uses less digits than its factorization.

166152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 166152064 is about 12889.9986035686. The cubic root of 166152064 is about 549.7542306894.

The spelling of 166152064 in words is "one hundred sixty-six million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 3221 3224 3968 6442 6448 12884 12896 25768 25792 41873 51536 51584 83746 99851 103072 167492 199702 206144 334984 399404 412288 669968 798808 1298063 1339936 1597616 2596126 2679872 3195232 5192252 5359744 6390464 10384504 12780928 20769008 41538016 83076032 166152064