Search a number
-
+
40676777080 = 23543532391867
BaseRepresentation
bin100101111000100001…
…100101110001111000
310212222211112101010021
4211320201211301320
51131301223331310
630404152300224
72640002620552
oct457041456170
9125884471107
1040676777080
1116283a86745
127a726a1674
133ab3350584
141d7c41c4d2
1510d111d5da
hex978865c78

40676777080 has 128 divisors (see below), whose sum is σ = 95868748800. Its totient is φ = 15518909952.

The previous prime is 40676777077. The next prime is 40676777093. The reversal of 40676777080 is 8077767604.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21786307 + ... + 21788173.

It is an arithmetic number, because the mean of its divisors is an integer number (748974600).

Almost surely, 240676777080 is an apocalyptic number.

40676777080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40676777080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47934374400).

40676777080 is an abundant number, since it is smaller than the sum of its proper divisors (55191971720).

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

40676777080 is a wasteful number, since it uses less digits than its factorization.

40676777080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 52.

The spelling of 40676777080 in words is "forty billion, six hundred seventy-six million, seven hundred seventy-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 43 53 86 106 172 212 215 239 265 344 424 430 478 530 860 956 1060 1195 1720 1867 1912 2120 2279 2390 3734 4558 4780 7468 9116 9335 9560 10277 11395 12667 14936 18232 18670 20554 22790 25334 37340 41108 45580 50668 51385 63335 74680 80281 82216 91160 98951 101336 102770 126670 160562 197902 205540 253340 321124 395804 401405 411080 446213 494755 506680 544681 642248 791608 802810 892426 989510 1089362 1605620 1784852 1979020 2178724 2231065 2723405 3211240 3569704 3958040 4254893 4357448 4462130 5446810 8509786 8924260 10893620 17019572 17848520 19187159 21274465 21787240 23649289 34039144 38374318 42548930 47298578 76748636 85097860 94597156 95935795 118246445 153497272 170195720 189194312 191871590 236492890 383743180 472985780 767486360 945971560 1016919427 2033838854 4067677708 5084597135 8135355416 10169194270 20338388540 40676777080