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132963197952 = 2103135362819
BaseRepresentation
bin111101111010100111…
…0010110010000000000
3110201012102201022001010
41323311032112100000
54134302034313302
6141025450440520
712414644351304
oct1736516262000
9421172638033
10132963197952
1151431293662
1221929133140
13c6cca71cc0
146614c51d04
1536d308816c
hex1ef5396400

132963197952 has 176 divisors, whose sum is σ = 388863840960. Its totient is φ = 40139194368.

The previous prime is 132963197951. The next prime is 132963197957. The reversal of 132963197952 is 259791369231.

It is a junction number, because it is equal to n+sod(n) for n = 132963197892 and 132963197901.

It is not an unprimeable number, because it can be changed into a prime (132963197951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2085199 + ... + 2148017.

Almost surely, 2132963197952 is an apocalyptic number.

132963197952 is a gapful number since it is divisible by the number (12) 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 132963197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194431920480).

132963197952 is an abundant number, since it is smaller than the sum of its proper divisors (255900643008).

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

132963197952 is a wasteful number, since it uses less digits than its factorization.

132963197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62908 (or 62890 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 57.

The spelling of 132963197952 in words is "one hundred thirty-two billion, nine hundred sixty-three million, one hundred ninety-seven thousand, nine hundred fifty-two".