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132915258516544 = 267223289512
BaseRepresentation
bin11110001110001010111110…
…110001001110010001000000
3122102121120111220020011200121
4132032022332301032101000
5114410140422140012134
61150404232105230024
736665545004222200
oct3616127661162100
9572546456204617
10132915258516544
1139395054380159
1212aa7a4b192314
135921b1685666a
1424b71c0710400
15105766e42eab4
hex78e2bec4e440

132915258516544 has 189 divisors, whose sum is σ = 320771181660951. Its totient is φ = 54480913132800.

The previous prime is 132915258516539. The next prime is 132915258516571. The reversal of 132915258516544 is 445615852519231.

The square root of 132915258516544 is 11528888.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14849203269 + ... + 14849212219.

Almost surely, 2132915258516544 is an apocalyptic number.

132915258516544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132915258516544 is the 11528888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132915258516544

132915258516544 is an abundant number, since it is smaller than the sum of its proper divisors (187855923144407).

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

132915258516544 is an frugal number, since it uses more digits than its factorization.

132915258516544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17974 (or 8983 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 61.

It can be divided in two parts, 1329152 and 58516544, that added together give a square (59845696 = 77362).

The spelling of 132915258516544 in words is "one hundred thirty-two trillion, nine hundred fifteen billion, two hundred fifty-eight million, five hundred sixteen thousand, five hundred forty-four".