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11226153232 = 2472101141773
BaseRepresentation
bin10100111010010000…
…11000000100010000
31001222100222200011001
422131020120010100
5140442343400412
65053543231344
7545123504500
oct123510300420
931870880131
1011226153232
114840964098
122213748554
13109ba3aa28
14786d3da00
1545a862957
hex29d218110

11226153232 has 60 divisors (see below), whose sum is σ = 25552495116. Its totient is φ = 4763539200.

The previous prime is 11226153227. The next prime is 11226153247. The reversal of 11226153232 is 23235162211.

It can be written as a sum of positive squares in 2 ways, for example, as 6376980736 + 4849172496 = 79856^2 + 69636^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11226153232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8298 + ... + 150070.

Almost surely, 211226153232 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 11226153232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776247558).

11226153232 is an abundant number, since it is smaller than the sum of its proper divisors (14326341884).

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

11226153232 is a wasteful number, since it uses less digits than its factorization.

11226153232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141896 (or 141883 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The spelling of 11226153232 in words is "eleven billion, two hundred twenty-six million, one hundred fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 1414 1616 2828 4949 5656 9898 11312 19796 39592 79184 141773 283546 567092 992411 1134184 1984822 2268368 3969644 6946877 7939288 13893754 14319073 15878576 27787508 28638146 55575016 57276292 100233511 111150032 114552584 200467022 229105168 400934044 701634577 801868088 1403269154 1603736176 2806538308 5613076616 11226153232