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11141025504 = 253716578907
BaseRepresentation
bin10100110000000111…
…01000111011100000
31001202102210201212020
422120003220323200
5140304100304004
65041302501440
7543041103630
oct123003507340
931672721766
1011141025504
1147a79003a4
1221ab134880
1310872036ab
147799006c0
154531498d9
hex2980e8ee0

11141025504 has 48 divisors (see below), whose sum is σ = 33423078528. Its totient is φ = 3183149952.

The previous prime is 11141025503. The next prime is 11141025527. The reversal of 11141025504 is 40552014111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141025503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8288782 + ... + 8290125.

It is an arithmetic number, because the mean of its divisors is an integer number (696314136).

Almost surely, 211141025504 is an apocalyptic number.

11141025504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11141025504 is an abundant number, since it is smaller than the sum of its proper divisors (22282053024).

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

11141025504 is a wasteful number, since it uses less digits than its factorization.

11141025504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16578927 (or 16578919 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 11141025504 its reverse (40552014111), we get a palindrome (51693039615).

The spelling of 11141025504 in words is "eleven billion, one hundred forty-one million, twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 16578907 33157814 49736721 66315628 99473442 116052349 132631256 198946884 232104698 265262512 348157047 397893768 464209396 530525024 696314094 795787536 928418792 1392628188 1591575072 1856837584 2785256376 3713675168 5570512752 11141025504