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6670109664 = 2532172359233
BaseRepresentation
bin1100011011001000…
…11100101111100000
3122012211222200022200
412031210130233200
5102130022002124
63021511333200
7324201665601
oct61544345740
918184880280
106670109664
112913115129
121361981200
13823b7106a
14473c05da8
152908a3bc9
hex18d91cbe0

6670109664 has 144 divisors (see below), whose sum is σ = 20957463072. Its totient is φ = 2001567744.

The previous prime is 6670109659. The next prime is 6670109689. The reversal of 6670109664 is 4669010766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82992 + ... + 142224.

It is an arithmetic number, because the mean of its divisors is an integer number (145537938).

Almost surely, 26670109664 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 6670109664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478731536).

6670109664 is an abundant number, since it is smaller than the sum of its proper divisors (14287353408).

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

6670109664 is a wasteful number, since it uses less digits than its factorization.

6670109664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59289 (or 59278 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6670109664 is about 81670.7393379049. The cubic root of 6670109664 is about 1882.3960004556.

The spelling of 6670109664 in words is "six billion, six hundred seventy million, one hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 92 96 102 136 138 144 153 184 204 207 272 276 288 306 368 391 408 414 544 552 612 736 782 816 828 1104 1173 1224 1564 1632 1656 2208 2346 2448 3128 3312 3519 4692 4896 6256 6624 7038 9384 12512 14076 18768 28152 37536 56304 59233 112608 118466 177699 236932 355398 473864 533097 710796 947728 1006961 1066194 1362359 1421592 1895456 2013922 2132388 2724718 2843184 3020883 4027844 4087077 4264776 5449436 5686368 6041766 8055688 8174154 8529552 9062649 10898872 12083532 12261231 16111376 16348308 17059104 18125298 21797744 23160103 24167064 24522462 32222752 32696616 36250596 43595488 46320206 48334128 49044924 65393232 69480309 72501192 92640412 96668256 98089848 130786464 138960618 145002384 185280824 196179696 208440927 277921236 290004768 370561648 392359392 416881854 555842472 741123296 833763708 1111684944 1667527416 2223369888 3335054832 6670109664