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11038041460 = 2255211059313
BaseRepresentation
bin10100100011110101…
…10010010101110100
31001111021000121022101
422101322302111310
5140101214311320
65023143311444
7540350542615
oct122172622564
931437017271
1011038041460
114754760a16
12218074b584
13106ba868a4
14769d73c0c
154490a5c0a
hex291eb2574

11038041460 has 24 divisors (see below), whose sum is σ = 23224400136. Its totient is φ = 4406737920.

The previous prime is 11038041437. The next prime is 11038041473. The reversal of 11038041460 is 6414083011.

11038041460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114447204 + 10923594256 = 10698^2 + 104516^2 .

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 7 ways as a sum of consecutive naturals, for example, 519237 + ... + 540076.

It is an arithmetic number, because the mean of its divisors is an integer number (967683339).

Almost surely, 211038041460 is an apocalyptic number.

11038041460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11038041460 is an abundant number, since it is smaller than the sum of its proper divisors (12186358676).

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

11038041460 is a wasteful number, since it uses less digits than its factorization.

11038041460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059843 (or 1059841 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 11038041460 in words is "eleven billion, thirty-eight million, forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 521 1042 2084 2605 5210 10420 1059313 2118626 4237252 5296565 10593130 21186260 551902073 1103804146 2207608292 2759510365 5519020730 11038041460