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11241955044 = 2232415375193
BaseRepresentation
bin10100111100001001…
…01001111011100100
31002000110201111011100
422132010221323210
5141010420030134
65055310040100
7545405020065
oct123604517344
932013644140
1011241955044
114849877241
122218aa9030
1310a20b1308
1478909456c
1545be34999
hex29e129ee4

11241955044 has 36 divisors (see below), whose sum is σ = 28424384716. Its totient is φ = 3746366208.

The previous prime is 11241955031. The next prime is 11241955057. The reversal of 11241955044 is 44055914211.

11241955044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11241955031) and next prime (11241955057).

It can be written as a sum of positive squares in 2 ways, for example, as 1700572644 + 9541382400 = 41238^2 + 97680^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112419550442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 111912 + ... + 187104.

Almost surely, 211241955044 is an apocalyptic number.

It is an amenable number.

11241955044 is an abundant number, since it is smaller than the sum of its proper divisors (17182429672).

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

11241955044 is a wasteful number, since it uses less digits than its factorization.

11241955044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79356 (or 79351 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11241955044 in words is "eleven billion, two hundred forty-one million, nine hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4153 8306 12459 16612 24918 37377 49836 74754 75193 149508 150386 225579 300772 451158 676737 902316 1353474 2706948 312276529 624553058 936829587 1249106116 1873659174 2810488761 3747318348 5620977522 11241955044