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132233815504 = 247324095083
BaseRepresentation
bin111101100100110111…
…1111110010111010000
3110122022121020211102101
41323021233332113100
54131303324044004
6140425233330144
712360606613000
oct1731157762720
9418277224371
10132233815504
11510975a584a
1221764a06954
13c614915a5b
14658602a000
15368e00eba4
hex1ec9bfe5d0

132233815504 has 40 divisors (see below), whose sum is σ = 298779041600. Its totient is φ = 56671632864.

The previous prime is 132233815463. The next prime is 132233815573. The reversal of 132233815504 is 405518332231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12042054 + ... + 12053029.

It is an arithmetic number, because the mean of its divisors is an integer number (7469476040).

Almost surely, 2132233815504 is an apocalyptic number.

132233815504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132233815504 is an abundant number, since it is smaller than the sum of its proper divisors (166545226096).

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

132233815504 is an equidigital number, since it uses as much as digits as its factorization.

132233815504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24095112 (or 24095092 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 132233815504 in words is "one hundred thirty-two billion, two hundred thirty-three million, eight hundred fifteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 24095083 48190166 96380332 168665581 192760664 337331162 385521328 674662324 1180659067 1349324648 2361318134 2698649296 4722636268 8264613469 9445272536 16529226938 18890545072 33058453876 66116907752 132233815504