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132396227376 = 24373234347173
BaseRepresentation
bin111101101001101101…
…1100001101100110000
3110122201220212012121220
41323103123201230300
54132121413234001
6140453314345040
712364621236000
oct1732333415460
9418656765556
10132396227376
1151170245236
12217ab28b180
13c63c46c25a
14659d826000
15369d3e1c36
hex1ed36e1b30

132396227376 has 640 divisors, whose sum is σ = 437457715200. Its totient is φ = 34389476352.

The previous prime is 132396227363. The next prime is 132396227389. The reversal of 132396227376 is 673722693231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132396227363) and next prime (132396227389).

It is a super-2 number, since 2×1323962273762 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 765296026 + ... + 765296198.

It is an arithmetic number, because the mean of its divisors is an integer number (683527680).

Almost surely, 2132396227376 is an apocalyptic number.

132396227376 is a gapful number since it is divisible by the number (16) 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 132396227376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218728857600).

132396227376 is an abundant number, since it is smaller than the sum of its proper divisors (305061487824).

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

132396227376 is a wasteful number, since it uses less digits than its factorization.

132396227376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 51.

The spelling of 132396227376 in words is "one hundred thirty-two billion, three hundred ninety-six million, two hundred twenty-seven thousand, three hundred seventy-six".