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10555121444 = 2274712796271
BaseRepresentation
bin10011101010010001…
…00101111100100100
31000020121022201120212
421311020211330210
5133104102341234
64503212514552
7522365023550
oct116510457444
930217281525
1010555121444
1145270aaa6a
122066a7ba58
13cc2a01aba
14721b86860
1541b9b35ce
hex275225f24

10555121444 has 48 divisors (see below), whose sum is σ = 21579694080. Its totient is φ = 4423209120.

The previous prime is 10555121441. The next prime is 10555121497. The reversal of 10555121444 is 44412155501.

It is a happy number.

It is a super-2 number, since 2×105551214442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10555121444.

It is not an unprimeable number, because it can be changed into a prime (10555121441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680029 + ... + 1686299.

It is an arithmetic number, because the mean of its divisors is an integer number (449576960).

Almost surely, 210555121444 is an apocalyptic number.

10555121444 is a gapful number since it is divisible by the number (14) 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 10555121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789847040).

10555121444 is an abundant number, since it is smaller than the sum of its proper divisors (11024572636).

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

10555121444 is a wasteful number, since it uses less digits than its factorization.

10555121444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 10555121444 its reverse (44412155501), we get a palindrome (54967276945).

The spelling of 10555121444 in words is "ten billion, five hundred fifty-five million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1279 1316 2558 5116 6271 8953 12542 17906 25084 35812 43897 60113 87794 120226 175588 240452 294737 420791 589474 841582 1178948 1683164 2063159 4126318 8020609 8252636 16041218 32082436 56144263 112288526 224577052 376968623 753937246 1507874492 2638780361 5277560722 10555121444