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667066968 = 233327711149
BaseRepresentation
bin100111110000101…
…010001001011000
31201111012111212000
4213300222021120
52331232120333
6150105321000
722346655441
oct4760521130
91644174760
10667066968
113125a6317
12167496160
13a827b3a9
14648442c8
153d869713
hex27c2a258

667066968 has 64 divisors (see below), whose sum is σ = 1859820000. Its totient is φ = 221533056.

The previous prime is 667066937. The next prime is 667066973. The reversal of 667066968 is 869660766.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 54258 + ... + 65406.

Almost surely, 2667066968 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 667066968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929910000).

667066968 is an abundant number, since it is smaller than the sum of its proper divisors (1192753032).

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

667066968 is a wasteful number, since it uses less digits than its factorization.

667066968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 667066968 is about 25827.6396134064. The cubic root of 667066968 is about 873.7552774645.

The spelling of 667066968 in words is "six hundred sixty-seven million, sixty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 277 554 831 1108 1662 2216 2493 3324 4986 6648 7479 9972 11149 14958 19944 22298 29916 33447 44596 59832 66894 89192 100341 133788 200682 267576 301023 401364 602046 802728 1204092 2408184 3088273 6176546 9264819 12353092 18529638 24706184 27794457 37059276 55588914 74118552 83383371 111177828 166766742 222355656 333533484 667066968