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664009416 = 233271969341
BaseRepresentation
bin100111100100111…
…111101011001000
31201021110011200100
4213210333223020
52324441300131
6145520005400
722311662340
oct4744775310
91637404610
10664009416
113108a8114
12166460860
13a774a7a5
1464289d20
153d4637e6
hex2793fac8

664009416 has 96 divisors (see below), whose sum is σ = 2163470400. Its totient is φ = 179729280.

The previous prime is 664009343. The next prime is 664009427. The reversal of 664009416 is 614900466.

664009416 is a `hidden beast` number, since 6 + 640 + 0 + 9 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×6640094162 = 881817009073322112, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25095 + ... + 44246.

It is an arithmetic number, because the mean of its divisors is an integer number (22536150).

Almost surely, 2664009416 is an apocalyptic number.

It is an amenable number.

664009416 is an abundant number, since it is smaller than the sum of its proper divisors (1499460984).

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

664009416 is a wasteful number, since it uses less digits than its factorization.

664009416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69379 (or 69372 counting only the distinct ones).

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

The square root of 664009416 is about 25768.3801586363. The cubic root of 664009416 is about 872.4182580925.

The spelling of 664009416 in words is "six hundred sixty-four million, nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 69341 138682 208023 277364 416046 485387 554728 624069 832092 970774 1248138 1317479 1456161 1664184 1941548 2496276 2634958 2912322 3883096 3952437 4368483 4992552 5269916 5824644 7904874 8736966 9222353 10539832 11649288 11857311 15809748 17473932 18444706 23714622 27667059 31619496 34947864 36889412 47429244 55334118 73778824 83001177 94858488 110668236 166002354 221336472 332004708 664009416