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132153466415445 = 3258691533378857
BaseRepresentation
bin11110000011000101100000…
…011010111110100101010101
3122022220202012021222210122200
4132003011200122332211111
5114310200244400243240
61145022244144515113
736556526044212336
oct3603054032764525
9568822167883580
10132153466415445
1139120a74615412
12129a428861ba99
1358980315a68b7
14248c39493828d
15104293562b930
hex7831606be955

132153466415445 has 24 divisors (see below), whose sum is σ = 229066339798296. Its totient is φ = 70481746802688.

The previous prime is 132153466415441. The next prime is 132153466415459. The reversal of 132153466415445 is 544514664351231.

It is a happy number.

132153466415445 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 34 + 6 + 64 + 1 + 544 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47593689797124 + 84559776618321 = 6898818^2 + 9195639^2 .

It is not a de Polignac number, because 132153466415445 - 22 = 132153466415441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132153466415391 and 132153466415400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132153466415441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37422457 + ... + 40801313.

It is an arithmetic number, because the mean of its divisors is an integer number (9544430824929).

Almost surely, 2132153466415445 is an apocalyptic number.

132153466415445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132153466415445 is a deficient number, since it is larger than the sum of its proper divisors (96912873382851).

132153466415445 is a wasteful number, since it uses less digits than its factorization.

132153466415445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248021 (or 4248018 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 132153466415445 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred sixty-six million, four hundred fifteen thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 869153 2607459 3378857 4345765 7822377 10136571 13037295 16894285 30409713 39111885 50682855 152048565 2936743698121 8810231094363 14683718490605 26430693283089 44051155471815 132153466415445