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132024675904 = 2611241292
BaseRepresentation
bin111101011110101001…
…0001010111001000000
3110121210000201102211021
41322331102022321000
54130341304112104
6140352402555224
712352460141362
oct1727522127100
9417700642737
10132024675904
1150a9a540100
1221706968b14
13c5b04ab704
146566348d32
15367a99c754
hex1ebd48ae40

132024675904 has 63 divisors (see below), whose sum is σ = 288038354961. Its totient is φ = 59996682240.

The previous prime is 132024675863. The next prime is 132024675947. The reversal of 132024675904 is 409576420231.

The square root of 132024675904 is 363352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73033981504 + 58990694400 = 270248^2 + 242880^2 .

It is a Duffinian number.

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, 31972912 + ... + 31977040.

Almost surely, 2132024675904 is an apocalyptic number.

132024675904 is the 363352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132024675904

132024675904 is an abundant number, since it is smaller than the sum of its proper divisors (156013679057).

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

132024675904 is an frugal number, since it uses more digits than its factorization.

132024675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 132024675904 in words is "one hundred thirty-two billion, twenty-four million, six hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 4129 7744 8258 16516 33032 45419 66064 90838 132128 181676 264256 363352 499609 726704 999218 1453408 1998436 2906816 3996872 7993744 15987488 17048641 31974976 34097282 68194564 136389128 187535051 272778256 375070102 545556512 750140204 1091113024 1500280408 2062885561 3000560816 4125771122 6001121632 8251542244 12002243264 16503084488 33006168976 66012337952 132024675904