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6697040688 = 2433131319103
BaseRepresentation
bin1100011110010110…
…01011101100110000
3122021201122220202000
412033023023230300
5102203420300223
63024312454000
7324646622652
oct61713135460
918251586660
106697040688
112927339878
12136a9aa300
13829610190
144776166d2
15292e23543
hex18f2cbb30

6697040688 has 160 divisors (see below), whose sum is σ = 20861998080. Its totient is φ = 2044673280.

The previous prime is 6697040681. The next prime is 6697040689. The reversal of 6697040688 is 8860407966.

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

It is not an unprimeable number, because it can be changed into a prime (6697040681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 731145 + ... + 740247.

It is an arithmetic number, because the mean of its divisors is an integer number (130387488).

Almost surely, 26697040688 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 6697040688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430999040).

6697040688 is an abundant number, since it is smaller than the sum of its proper divisors (14164957392).

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

6697040688 is a wasteful number, since it uses less digits than its factorization.

6697040688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6697040688 is about 81835.4488470614. The cubic root of 6697040688 is about 1884.9260326474.

The spelling of 6697040688 in words is "six billion, six hundred ninety-seven million, forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 131 144 156 208 216 234 262 312 351 393 432 468 524 624 702 786 936 1048 1179 1404 1572 1703 1872 2096 2358 2808 3144 3406 3537 4716 5109 5616 6288 6812 7074 9103 9432 10218 13624 14148 15327 18206 18864 20436 27248 27309 28296 30654 36412 40872 45981 54618 56592 61308 72824 81744 81927 91962 109236 118339 122616 145648 163854 183924 218472 236678 245232 245781 327708 355017 367848 436944 473356 491562 655416 710034 735696 946712 983124 1065051 1192493 1310832 1420068 1893424 1966248 2130102 2384986 2840136 3195153 3577479 3932496 4260204 4769972 5680272 6390306 7154958 8520408 9539944 10732437 12780612 14309916 15502409 17040816 19079888 21464874 25561224 28619832 31004818 32197311 42929748 46507227 51122448 57239664 62009636 64394622 85859496 93014454 124019272 128789244 139521681 171718992 186028908 248038544 257578488 279043362 372057816 418565043 515156976 558086724 744115632 837130086 1116173448 1674260172 2232346896 3348520344 6697040688