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132334534400 = 285220677271
BaseRepresentation
bin111101100111111000…
…0001011111100000000
3110122120121202212202212
41323033300023330000
54132010120100100
6140443232201252
712363241661045
oct1731760137400
9418517685685
10132334534400
1151139438402
1221792699228
13c62c74b833
1465955671cc
153697ca7635
hex1ecfc0bf00

132334534400 has 54 divisors (see below), whose sum is σ = 327548665752. Its totient is φ = 52933811200.

The previous prime is 132334534399. The next prime is 132334534463. The reversal of 132334534400 is 4435433231.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 10332236 + ... + 10345035.

Almost surely, 2132334534400 is an apocalyptic number.

132334534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132334534400 is an abundant number, since it is smaller than the sum of its proper divisors (195214131352).

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

132334534400 is an equidigital number, since it uses as much as digits as its factorization.

132334534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20677297 (or 20677278 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 132334534400 its reverse (4435433231), we get a palindrome (136769967631).

The spelling of 132334534400 in words is "one hundred thirty-two billion, three hundred thirty-four million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 20677271 41354542 82709084 103386355 165418168 206772710 330836336 413545420 516931775 661672672 827090840 1033863550 1323345344 1654181680 2067727100 2646690688 3308363360 4135454200 5293381376 6616726720 8270908400 13233453440 16541816800 26466906880 33083633600 66167267200 132334534400