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11731225536 = 2632193105527
BaseRepresentation
bin10101110110011110…
…00100101111000000
31010021120101000002200
422323033010233000
5143011143204121
65220024513200
7563465525502
oct127317045700
933246330080
1011731225536
114a7aa75418
12233491b800
13114c57a794
147d4055d72
15489d7da26
hex2bb3c4bc0

11731225536 has 84 divisors (see below), whose sum is σ = 33799985232. Its totient is φ = 3890110464.

The previous prime is 11731225531. The next prime is 11731225549. The reversal of 11731225536 is 63552213711.

11731225536 is a `hidden beast` number, since 11 + 73 + 1 + 22 + 553 + 6 = 666.

11731225536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11731225536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11731225531) by changing a digit.

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, 58405 + ... + 163931.

Almost surely, 211731225536 is an apocalyptic number.

11731225536 is a gapful number since it is divisible by the number (16) 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 11731225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899992616).

11731225536 is an abundant number, since it is smaller than the sum of its proper divisors (22068759696).

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

11731225536 is a wasteful number, since it uses less digits than its factorization.

11731225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105738 (or 105725 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The spelling of 11731225536 in words is "eleven billion, seven hundred thirty-one million, two hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 193 288 386 576 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 27792 37056 55584 105527 111168 211054 316581 422108 633162 844216 949743 1266324 1688432 1899486 2532648 3376864 3798972 5065296 6753728 7597944 10130592 15195888 20261184 20366711 30391776 40733422 60783552 61100133 81466844 122200266 162933688 183300399 244400532 325867376 366600798 488801064 651734752 733201596 977602128 1303469504 1466403192 1955204256 2932806384 3910408512 5865612768 11731225536