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132519128180 = 22550753130553
BaseRepresentation
bin111101101101011000…
…0010110110001110100
3110200001111010012211112
41323122300112301310
54132344344100210
6140513424454152
712400643001245
oct1733260266164
9420044105745
10132519128180
115122365844a
122182447a358
13c65ba7061a
1465b1c98ccc
1536a90bbd05
hex1edac16c74

132519128180 has 24 divisors (see below), whose sum is σ = 278297784072. Its totient is φ = 53006200832.

The previous prime is 132519128149. The next prime is 132519128191. The reversal of 132519128180 is 81821915231.

It can be written as a sum of positive squares in 4 ways, for example, as 9252131344 + 123266996836 = 96188^2 + 351094^2 .

It is a super-3 number, since 3×1325191281803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949784 + ... + 1080336.

It is an arithmetic number, because the mean of its divisors is an integer number (11595741003).

Almost surely, 2132519128180 is an apocalyptic number.

132519128180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132519128180 is an abundant number, since it is smaller than the sum of its proper divisors (145778655892).

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

132519128180 is a wasteful number, since it uses less digits than its factorization.

132519128180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181315 (or 181313 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 41.

The spelling of 132519128180 in words is "one hundred thirty-two billion, five hundred nineteen million, one hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 50753 101506 130553 203012 253765 261106 507530 522212 652765 1015060 1305530 2611060 6625956409 13251912818 26503825636 33129782045 66259564090 132519128180