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11573897808 = 2431122637577
BaseRepresentation
bin10101100011101101…
…11010101001010000
31002212121022221000210
422301312322221100
5142200404212213
65152244444120
7556545336204
oct126166725120
932777287023
1011573897808
1149aa188800
1222b00a9640
131125ab4455
147bb1c0b04
1547b1530c3
hex2b1dbaa50

11573897808 has 120 divisors (see below), whose sum is σ = 32993763264. Its totient is φ = 3493445120.

The previous prime is 11573897807. The next prime is 11573897821. The reversal of 11573897808 is 80879837511.

11573897808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115738978082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11573897807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1523716 + ... + 1531292.

Almost surely, 211573897808 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 11573897808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496881632).

11573897808 is an abundant number, since it is smaller than the sum of its proper divisors (21419865456).

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

11573897808 is a wasteful number, since it uses less digits than its factorization.

11573897808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 57.

The spelling of 11573897808 in words is "eleven billion, five hundred seventy-three million, eight hundred ninety-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 263 264 363 484 526 528 726 789 968 1052 1452 1578 1936 2104 2893 2904 3156 4208 5786 5808 6312 7577 8679 11572 12624 15154 17358 22731 23144 30308 31823 34716 45462 46288 60616 63646 69432 83347 90924 95469 121232 127292 138864 166694 181848 190938 250041 254584 333388 363696 381876 500082 509168 666776 763752 916817 1000164 1333552 1527504 1833634 1992751 2000328 2750451 3667268 3985502 4000656 5500902 5978253 7334536 7971004 11001804 11956506 14669072 15942008 21920261 22003608 23913012 31884016 43840522 44007216 47826024 65760783 87681044 95652048 131521566 175362088 241122871 263043132 350724176 482245742 526086264 723368613 964491484 1052172528 1446737226 1928982968 2893474452 3857965936 5786948904 11573897808