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328967410541 = 71119224858107
BaseRepresentation
bin1001100100101111111…
…11000101001101101101
31011110010022012221200012
410302113333011031231
520342211124114131
6411043041143005
732524055565320
oct4622777051555
91143108187605
10328967410541
11117572588610
125390a62aa65
13250382b6013
1411cca3987b7
15885581a52b
hex4c97fc536d

328967410541 has 16 divisors (see below), whose sum is σ = 431727567360. Its totient is φ = 242846754480.

The previous prime is 328967410531. The next prime is 328967410553. The reversal of 328967410541 is 145014769823.

It is a happy number.

It is not a de Polignac number, because 328967410541 - 26 = 328967410477 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 328967410541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328967410531) 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 15 ways as a sum of consecutive naturals, for example, 112427591 + ... + 112430516.

It is an arithmetic number, because the mean of its divisors is an integer number (26982972960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅328967410541 = 657934821082, but 3⋅328967410541 = 986902231623 is not.

Almost surely, 2328967410541 is an apocalyptic number.

It is an amenable number.

328967410541 is a deficient number, since it is larger than the sum of its proper divisors (102760156819).

328967410541 is a wasteful number, since it uses less digits than its factorization.

328967410541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224858144.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 328967410541 in words is "three hundred twenty-eight billion, nine hundred sixty-seven million, four hundred ten thousand, five hundred forty-one".

Divisors: 1 7 11 19 77 133 209 1463 224858107 1574006749 2473439177 4272304033 17314074239 29906128231 46995344363 328967410541