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11115925968 = 2437229162971
BaseRepresentation
bin10100101101000111…
…11001000111010000
31001200200120112202210
422112203321013100
5140231134112333
65035004512120
7542314545300
oct122643710720
931620515683
1011115925968
114794717784
1221a284b640
131081c560b4
14776449600
15450d3ca63
hex2968f91d0

11115925968 has 120 divisors (see below), whose sum is σ = 34556582880. Its totient is φ = 3066443520.

The previous prime is 11115925957. The next prime is 11115925969. The reversal of 11115925968 is 86952951111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11115925969) 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, 13278 + ... + 149693.

It is an arithmetic number, because the mean of its divisors is an integer number (287971524).

Almost surely, 211115925968 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 11115925968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278291440).

11115925968 is an abundant number, since it is smaller than the sum of its proper divisors (23440656912).

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

11115925968 is a wasteful number, since it uses less digits than its factorization.

11115925968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163025 (or 163012 counting only the distinct ones).

The product of its digits is 194400, while the sum is 48.

The spelling of 11115925968 in words is "eleven billion, one hundred fifteen million, nine hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2352 2436 2842 3248 4263 4872 5684 8526 9744 11368 17052 22736 34104 68208 162971 325942 488913 651884 977826 1140797 1303768 1955652 2281594 2607536 3422391 3911304 4563188 4726159 6844782 7822608 7985579 9126376 9452318 13689564 14178477 15971158 18252752 18904636 23956737 27379128 28356954 31942316 33083113 37809272 47913474 54758256 56713908 63884632 66166226 75618544 95826948 99249339 113427816 127769264 132332452 191653896 198498678 226855632 231581791 264664904 383307792 396997356 463163582 529329808 694745373 793994712 926327164 1389490746 1587989424 1852654328 2778981492 3705308656 5557962984 11115925968