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132362081856 = 26343121632
BaseRepresentation
bin111101101000101100…
…1010001011001000000
3110122122112121102210000
41323101121101121000
54132034143104411
6140450054440000
712364025063244
oct1732131213100
9418575542700
10132362081856
1151152a431a4
122179b963000
13c6353753c4
146599098424
15369a3e9956
hex1ed1651640

132362081856 has 315 divisors, whose sum is σ = 407930368923. Its totient is φ = 42435498240.

The previous prime is 132362081837. The next prime is 132362081857. The reversal of 132362081856 is 658180263231.

The square root of 132362081856 is 363816.

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

132362081856 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 620 + 8 + 18 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (132362081857) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 812037231 + ... + 812037393.

Almost surely, 2132362081856 is an apocalyptic number.

132362081856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132362081856 is the 363816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132362081856

132362081856 is an abundant number, since it is smaller than the sum of its proper divisors (275568287067).

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

132362081856 is an frugal number, since it uses more digits than its factorization.

132362081856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 199 counting only the distinct ones).

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

The spelling of 132362081856 in words is "one hundred thirty-two billion, three hundred sixty-two million, eighty-one thousand, eight hundred fifty-six".