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132454634860065 = 3572934305367621
BaseRepresentation
bin11110000111011101111111…
…011101011010111000100001
3122100222112120020112222002110
4132013131333131122320201
5114330114043011010230
61145412452541505533
736620350220566050
oct3607357735327041
9570875506488073
10132454634860065
1139227771325421
1212a327192722a9
1358ba5594cba4b
14249cba4d14397
15104a6b06914b0
hex78777f75ae21

132454634860065 has 32 divisors (see below), whose sum is σ = 243029391526656. Its totient is φ = 60344032561920.

The previous prime is 132454634860061. The next prime is 132454634860091. The reversal of 132454634860065 is 560068436454231.

It is a happy number.

It is not a de Polignac number, because 132454634860065 - 22 = 132454634860061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132454634859987 and 132454634860014.

It is not an unprimeable number, because it can be changed into a prime (132454634860061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2152653046 + ... + 2152714575.

It is an arithmetic number, because the mean of its divisors is an integer number (7594668485208).

Almost surely, 2132454634860065 is an apocalyptic number.

132454634860065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132454634860065 is a deficient number, since it is larger than the sum of its proper divisors (110574756666591).

132454634860065 is a wasteful number, since it uses less digits than its factorization.

132454634860065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305367929.

The product of its (nonzero) digits is 49766400, while the sum is 57.

The spelling of 132454634860065 in words is "one hundred thirty-two trillion, four hundred fifty-four billion, six hundred thirty-four million, eight hundred sixty thousand, sixty-five".

Divisors: 1 3 5 7 15 21 35 105 293 879 1465 2051 4395 6153 10255 30765 4305367621 12916102863 21526838105 30137573347 64580514315 90412720041 150687866735 452063600205 1261472712953 3784418138859 6307363564765 8830308990671 18922090694295 26490926972013 44151544953355 132454634860065