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132513174339432 = 2332329431571226179
BaseRepresentation
bin11110001000010100100000…
…101011110011111101101000
3122101012010122221220122011220
4132020110200223303331220
5114332043440112330212
61145455413434022040
736624521664135105
oct3610244053637550
9571163587818156
10132513174339432
113924a581337737
1212a41b35b77920
1358c2c284aa533
1424a195981daac
15104be89a9738c
hex788520af3f68

132513174339432 has 256 divisors, whose sum is σ = 368254225152000. Its totient is φ = 39591149165568.

The previous prime is 132513174339431. The next prime is 132513174339437. The reversal of 132513174339432 is 234933471315231.

It is not an unprimeable number, because it can be changed into a prime (132513174339431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107456919 + ... + 108683097.

It is an arithmetic number, because the mean of its divisors is an integer number (1438493067000).

Almost surely, 2132513174339432 is an apocalyptic number.

132513174339432 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 132513174339432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184127112576000).

132513174339432 is an abundant number, since it is smaller than the sum of its proper divisors (235741050812568).

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

132513174339432 is a wasteful number, since it uses less digits than its factorization.

132513174339432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226440 (or 1226436 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

The spelling of 132513174339432 in words is "one hundred thirty-two trillion, five hundred thirteen billion, one hundred seventy-four million, three hundred thirty-nine thousand, four hundred thirty-two".