Search a number
-
+
10511335008 = 253417238547
BaseRepresentation
bin10011100101000011…
…00011111001100000
31000010112221010220000
421302201203321200
5133011400210013
64455010220000
7521323605366
oct116241437140
930115833800
1010511335008
114504413629
122054284600
13cb6910975
1471a029636
15417c14973
hex272863e60

10511335008 has 120 divisors (see below), whose sum is σ = 32732125272. Its totient is φ = 3297659904.

The previous prime is 10511335007. The next prime is 10511335033. The reversal of 10511335008 is 80053311501.

It is a super-2 number, since 2×105113350082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511335007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75210 + ... + 163337.

Almost surely, 210511335008 is an apocalyptic number.

10511335008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10511335008 is an abundant number, since it is smaller than the sum of its proper divisors (22220790264).

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

10511335008 is a wasteful number, since it uses less digits than its factorization.

10511335008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238586 (or 238569 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10511335008 its reverse (80053311501), we get a palindrome (90564646509).

The spelling of 10511335008 in words is "ten billion, five hundred eleven million, three hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 238547 477094 715641 954188 1431282 1908376 2146923 2862564 3816752 4055299 4293846 5725128 6440769 7633504 8110598 8587692 11450256 12165897 12881538 16221196 17175384 19322307 22900512 24331794 25763076 32442392 34350768 36497691 38644614 48663588 51526152 64884784 68701536 72995382 77289228 97327176 103052304 109493073 129769568 145990764 154578456 194654352 206104608 218986146 291981528 309156912 328479219 389308704 437972292 583963056 618313824 656958438 875944584 1167926112 1313916876 1751889168 2627833752 3503778336 5255667504 10511335008