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132415134550011 = 351514018999327
BaseRepresentation
bin11110000110111001001101…
…000011101100011111111011
3122100211202121101202022100000
4132012321031003230133323
5114323442143421100021
61145342401213044043
736614451321521205
oct3606711503543773
9570752541668300
10132415134550011
1139211a41441885
1212a26b34786623
1358b6902b23411
14249acd8c5b775
15104964c9b0b26
hex786e4d0ec7fb

132415134550011 has 48 divisors (see below), whose sum is σ = 200161757472768. Its totient is φ = 87473448720000.

The previous prime is 132415134550001. The next prime is 132415134550033. The reversal of 132415134550011 is 110055431514231.

132415134550011 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 5 + 134 + 5 + 500 + 11 = 666.

It is not a de Polignac number, because 132415134550011 - 27 = 132415134549883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132415134550001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10214230 + ... + 19213556.

It is an arithmetic number, because the mean of its divisors is an integer number (4170036614016).

Almost surely, 2132415134550011 is an apocalyptic number.

132415134550011 is a deficient number, since it is larger than the sum of its proper divisors (67746622922757).

132415134550011 is an equidigital number, since it uses as much as digits as its factorization.

132415134550011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8999894 (or 8999882 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

It can be divided in two parts, 13241513 and 4550011, that added together give a square (17791524 = 42182).

The spelling of 132415134550011 in words is "one hundred thirty-two trillion, four hundred fifteen billion, one hundred thirty-four million, five hundred fifty thousand, eleven".

Divisors: 1 3 9 27 81 151 243 401 453 1203 1359 3609 4077 10827 12231 32481 36693 60551 97443 181653 544959 1634877 4904631 8999327 14713893 26997981 80993943 242981829 728945487 1358898377 2186836461 3608730127 4076695131 10826190381 12230085393 32478571143 36690256179 97435713429 110070768537 292307140287 330212305611 544918249177 876921420861 1634754747531 4904264242593 14712792727779 44138378183337 132415134550011