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775113768 = 2332111325791
BaseRepresentation
bin101110001100110…
…100110000101000
32000000111212012100
4232030310300220
53041412120033
6204525213400
725131233622
oct5614646050
92000455170
10775113768
113685934a0
12197701260
13c477b700
1474d2bc12
15480ad513
hex2e334c28

775113768 has 144 divisors (see below), whose sum is σ = 2480250240. Its totient is φ = 216777600.

The previous prime is 775113767. The next prime is 775113811. The reversal of 775113768 is 867311577.

775113768 is a `hidden beast` number, since 77 + 511 + 3 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (775113761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130953 + ... + 136743.

It is an arithmetic number, because the mean of its divisors is an integer number (17223960).

Almost surely, 2775113768 is an apocalyptic number.

775113768 is a gapful number since it is divisible by the number (78) 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 775113768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240125120).

775113768 is an abundant number, since it is smaller than the sum of its proper divisors (1705136472).

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

775113768 is a wasteful number, since it uses less digits than its factorization.

775113768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5820 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 775113768 is about 27840.8650727667. The cubic root of 775113768 is about 918.5902194999.

The spelling of 775113768 in words is "seven hundred seventy-five million, one hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 169 198 234 264 286 312 338 396 429 468 507 572 676 792 858 936 1014 1144 1287 1352 1521 1716 1859 2028 2574 3042 3432 3718 4056 5148 5577 5791 6084 7436 10296 11154 11582 12168 14872 16731 17373 22308 23164 33462 34746 44616 46328 52119 63701 66924 69492 75283 104238 127402 133848 138984 150566 191103 208476 225849 254804 301132 382206 416952 451698 509608 573309 602264 677547 764412 828113 903396 978679 1146618 1355094 1528824 1656226 1806792 1957358 2293236 2484339 2710188 2936037 3312452 3914716 4586472 4968678 5420376 5872074 6624904 7453017 7829432 8808111 9937356 10765469 11744148 14906034 17616222 19874712 21530938 23488296 29812068 32296407 35232444 43061876 59624136 64592814 70464888 86123752 96889221 129185628 193778442 258371256 387556884 775113768