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11112251552 = 251729739649
BaseRepresentation
bin10100101100101011…
…11000000010100000
31001200102122212102022
422112111320002200
5140224214022202
65034354041012
7542241402563
oct122625700240
931612585368
1011112251552
114792638076
1221a1579168
13108126a79c
14775b704da
15450863ea2
hex2965780a0

11112251552 has 96 divisors (see below), whose sum is σ = 24293682000. Its totient is φ = 4979294208.

The previous prime is 11112251543. The next prime is 11112251561. The reversal of 11112251552 is 25515221111.

It is an interprime number because it is at equal distance from previous prime (11112251543) and next prime (11112251561).

It can be written as a sum of positive squares in 8 ways, for example, as 5194949776 + 5917301776 = 72076^2 + 76924^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1146824 + ... + 1156472.

Almost surely, 211112251552 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 11112251552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146841000).

11112251552 is an abundant number, since it is smaller than the sum of its proper divisors (13181430448).

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

11112251552 is a wasteful number, since it uses less digits than its factorization.

11112251552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9770 counting only the distinct ones).

The product of its digits is 1000, while the sum is 26.

Adding to 11112251552 its reverse (25515221111), we get a palindrome (36627472663).

The spelling of 11112251552 in words is "eleven billion, one hundred twelve million, two hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 73 116 136 146 232 272 292 464 493 544 584 928 986 1168 1241 1972 2117 2336 2482 3944 4234 4964 7888 8468 9649 9928 15776 16936 19298 19856 33872 35989 38596 39712 67744 71978 77192 143956 154384 164033 279821 287912 308768 328066 559642 575824 656132 704377 1119284 1151648 1312264 1408754 2238568 2624528 2817508 4477136 4756957 5249056 5635016 8954272 9513914 11270032 11974409 19027828 20426933 22540064 23948818 38055656 40853866 47897636 76111312 81707732 95795272 152222624 163415464 191590544 326830928 347257861 383181088 653661856 694515722 1389031444 2778062888 5556125776 11112251552