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132535033800 = 233521341414431
BaseRepresentation
bin111101101101110110…
…1000001111111001000
3110200002121001022020120
41323123231001333020
54132412432040200
6140515153423240
712401225125311
oct1733355017710
9420077038216
10132535033800
1151231631594
122182986ab20
13c66214c230
1465b4039608
1536aa6ae9a0
hex1edbb41fc8

132535033800 has 192 divisors, whose sum is σ = 453255989760. Its totient is φ = 31828224000.

The previous prime is 132535033789. The next prime is 132535033859. The reversal of 132535033800 is 8330535231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112585 + ... + 527015.

It is an arithmetic number, because the mean of its divisors is an integer number (2360708280).

Almost surely, 2132535033800 is an apocalyptic number.

132535033800 is a gapful number since it is divisible by the number (10) 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 132535033800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226627994880).

132535033800 is an abundant number, since it is smaller than the sum of its proper divisors (320720955960).

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

132535033800 is a wasteful number, since it uses less digits than its factorization.

132535033800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414504 (or 414495 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 132535033800 in words is "one hundred thirty-two billion, five hundred thirty-five million, thirty-three thousand, eight hundred".