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11547453072 = 2431993713513
BaseRepresentation
bin10101100000100100…
…00010011010010000
31002210202120101200010
422300102002122100
5142122121444242
65145501554520
7556104505641
oct126022023220
932722511603
1011547453072
114996266451
1222a3275a40
13112048578c
147b78996c8
15478b7c89c
hex2b0482690

11547453072 has 80 divisors (see below), whose sum is σ = 31436807360. Its totient is φ = 3642402816.

The previous prime is 11547453013. The next prime is 11547453079. The reversal of 11547453072 is 27035474511.

It is a self number, because there is not a number n which added to its sum of digits gives 11547453072.

It is not an unprimeable number, because it can be changed into a prime (11547453079) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 847788 + ... + 861300.

It is an arithmetic number, because the mean of its divisors is an integer number (392960092).

Almost surely, 211547453072 is an apocalyptic number.

11547453072 is a gapful number since it is divisible by the number (12) 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 11547453072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718403680).

11547453072 is an abundant number, since it is smaller than the sum of its proper divisors (19889354288).

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

11547453072 is a wasteful number, since it uses less digits than its factorization.

11547453072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14480 (or 14474 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 11547453072 in words is "eleven billion, five hundred forty-seven million, four hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 937 1874 2811 3748 5622 7496 11244 13513 14992 17803 22488 27026 35606 40539 44976 53409 54052 71212 81078 106818 108104 142424 162156 213636 216208 256747 284848 324312 427272 513494 648624 770241 854544 1026988 1540482 2053976 3080964 4107952 6161928 12323856 12661681 25323362 37985043 50646724 75970086 101293448 151940172 202586896 240571939 303880344 481143878 607760688 721715817 962287756 1443431634 1924575512 2886863268 3849151024 5773726536 11547453072