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11255192088 = 23372922710177
BaseRepresentation
bin10100111101101110…
…01001101000011000
31002001101121222222020
422132313021220120
5141022312121323
65100501454440
7545625361050
oct123667115030
932041558866
1011255192088
114856298448
122221411420
1310a4a6739a
1478ab3c560
1545d19bae3
hex29edc9a18

11255192088 has 128 divisors (see below), whose sum is σ = 33416409600. Its totient is φ = 3090898944.

The previous prime is 11255192029. The next prime is 11255192099. The reversal of 11255192088 is 88029155211.

11255192088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1100856 + ... + 1111032.

It is an arithmetic number, because the mean of its divisors is an integer number (261065700).

Almost surely, 211255192088 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 11255192088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708204800).

11255192088 is an abundant number, since it is smaller than the sum of its proper divisors (22161217512).

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

11255192088 is a wasteful number, since it uses less digits than its factorization.

11255192088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10449 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 42.

The spelling of 11255192088 in words is "eleven billion, two hundred fifty-five million, one hundred ninety-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 227 232 348 406 454 609 681 696 812 908 1218 1362 1589 1624 1816 2436 2724 3178 4767 4872 5448 6356 6583 9534 10177 12712 13166 19068 19749 20354 26332 30531 38136 39498 40708 46081 52664 61062 71239 78996 81416 92162 122124 138243 142478 157992 184324 213717 244248 276486 284956 295133 368648 427434 552972 569912 590266 854868 885399 1105944 1180532 1709736 1770798 2065931 2310179 2361064 3541596 4131862 4620358 6197793 6930537 7083192 8263724 9240716 12395586 13861074 16171253 16527448 18481432 24791172 27722148 32342506 48513759 49582344 55444296 64685012 66995191 97027518 129370024 133990382 194055036 200985573 267980764 388110072 401971146 468966337 535961528 803942292 937932674 1406899011 1607884584 1875865348 2813798022 3751730696 5627596044 11255192088