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147792369257 = 135325417481
BaseRepresentation
bin1000100110100100011…
…1001001011001101001
3112010110220102020210222
42021221013021121221
54410134321304012
6151521143215425
713451301261011
oct2115107113151
9463426366728
10147792369257
1157750a37535
1224787447575
1310c240a8790
1472204c8c41
153c9eda6972
hex22691c9669

147792369257 has 24 divisors (see below), whose sum is σ = 162542290008. Its totient is φ = 133584422400.

The previous prime is 147792369247. The next prime is 147792369271. The reversal of 147792369257 is 752963297741.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6082284121 + 141710085136 = 77989^2 + 376444^2 .

It is not a de Polignac number, because 147792369257 - 210 = 147792368233 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 147792369257.

It is not an unprimeable number, because it can be changed into a prime (147792369227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19751957 + ... + 19759437.

It is an arithmetic number, because the mean of its divisors is an integer number (6772595417).

Almost surely, 2147792369257 is an apocalyptic number.

It is an amenable number.

147792369257 is a deficient number, since it is larger than the sum of its proper divisors (14749920751).

147792369257 is an equidigital number, since it uses as much as digits as its factorization.

147792369257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141 (or 8088 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 62.

The spelling of 147792369257 in words is "one hundred forty-seven billion, seven hundred ninety-two million, three hundred sixty-nine thousand, two hundred fifty-seven".

Divisors: 1 13 53 541 689 2809 7033 7481 28673 36517 97253 372749 396493 1519669 4047221 5154409 19755697 21014129 52613873 214502713 273183677 2788535269 11368643789 147792369257