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132452079552 = 26331329203317
BaseRepresentation
bin111101101011011000…
…0100101011111000000
3110122212210221210102000
41323112300211133000
54132230213021202
6140503031424000
712366200046222
oct1732660453700
9418783853360
10132452079552
1151199822861
1221805b25000
13c64abc6290
1465a7004412
1536a327591c
hex1ed6c257c0

132452079552 has 224 divisors, whose sum is σ = 433799284800. Its totient is φ = 39348965376.

The previous prime is 132452079533. The next prime is 132452079563. The reversal of 132452079552 is 255970254231.

132452079552 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 5 + 20 + 79 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132452079498 and 132452079507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549798 + ... + 753114.

It is an arithmetic number, because the mean of its divisors is an integer number (1936603950).

Almost surely, 2132452079552 is an apocalyptic number.

132452079552 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 132452079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216899642400).

132452079552 is an abundant number, since it is smaller than the sum of its proper divisors (301347205248).

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

132452079552 is a wasteful number, since it uses less digits than its factorization.

132452079552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203380 (or 203364 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 132452079552 in words is "one hundred thirty-two billion, four hundred fifty-two million, seventy-nine thousand, five hundred fifty-two".