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6787804140 = 22325132900771
BaseRepresentation
bin1100101001001010…
…11010101111101100
3122112001110011210100
412110211122233230
5102400134213030
63041314111100
7330131245305
oct62445325754
918461404710
106787804140
1129735a1797
12139527b490
1384236b770
144856c17ac
1529ada1360
hex19495abec

6787804140 has 72 divisors (see below), whose sum is σ = 22173501168. Its totient is φ = 1670843520.

The previous prime is 6787804129. The next prime is 6787804141. The reversal of 6787804140 is 414087876.

It is a super-2 number, since 2×67878041402 = 92148570086002279200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6787804141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1448046 + ... + 1452725.

It is an arithmetic number, because the mean of its divisors is an integer number (307965294).

Almost surely, 26787804140 is an apocalyptic number.

6787804140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6787804140 is an abundant number, since it is smaller than the sum of its proper divisors (15385697028).

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

6787804140 is a wasteful number, since it uses less digits than its factorization.

6787804140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900799 (or 2900794 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 6787804140 is about 82388.1310626719. The cubic root of 6787804140 is about 1893.4031739457.

The spelling of 6787804140 in words is "six billion, seven hundred eighty-seven million, eight hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2900771 5801542 8702313 11603084 14503855 17404626 26106939 29007710 34809252 37710023 43511565 52213878 58015420 75420046 87023130 104427756 113130069 130534695 150840092 174046260 188550115 226260138 261069390 339390207 377100230 452520276 522138780 565650345 678780414 754200460 1131300690 1357560828 1696951035 2262601380 3393902070 6787804140