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109523232288 = 2532195012
BaseRepresentation
bin110011000000000010…
…1111110011000100000
3101110200212021200000200
41212000011332120200
53243300421413123
6122151514545200
710625042054061
oct1460005763040
9343625250020
10109523232288
11424a3011508
1219287138200
13a4357ba532
14542db58568
152cb031d143
hex198017e620

109523232288 has 54 divisors (see below), whose sum is σ = 311472663957. Its totient is φ = 36505872000.

The previous prime is 109523232271. The next prime is 109523232319. The reversal of 109523232288 is 882232325901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

109523232288 is a `hidden beast` number, since 1 + 0 + 9 + 523 + 23 + 22 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109367781264 + 155451024 = 330708^2 + 12468^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=234012.

It is a super-3 number, since 3×1095232322883 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5606538 + ... + 5626038.

Almost surely, 2109523232288 is an apocalyptic number.

109523232288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109523232288 is an abundant number, since it is smaller than the sum of its proper divisors (201949431669).

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

109523232288 is an frugal number, since it uses more digits than its factorization.

109523232288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39018 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 109523232288 in words is "one hundred nine billion, five hundred twenty-three million, two hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 19501 39002 58503 78004 117006 156008 175509 234012 312016 351018 468024 624032 702036 936048 1404072 1872096 2808144 5616288 380289001 760578002 1140867003 1521156004 2281734006 3042312008 3422601009 4563468012 6084624016 6845202018 9126936024 12169248032 13690404036 18253872048 27380808072 36507744096 54761616144 109523232288