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329688776131 = 1113193718118119
BaseRepresentation
bin1001100110000101111…
…10110111110111000011
31011111222120121010020021
410303002332313313003
520400200311314011
6411242410354311
732550665234101
oct4630276676703
91144876533207
10329688776131
111179027a0220
1253a9012b997
1325121896270
1411d580d4c71
158898d0d471
hex4cc2fb7dc3

329688776131 has 64 divisors (see below), whose sum is σ = 421068211200. Its totient is φ = 253594022400.

The previous prime is 329688776111. The next prime is 329688776159. The reversal of 329688776131 is 131677886923.

It is a cyclic number.

It is not a de Polignac number, because 329688776131 - 223 = 329680387523 is a prime.

It is a super-2 number, since 2×3296887761312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 329688776131.

It is not an unprimeable number, because it can be changed into a prime (329688776111) 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 63 ways as a sum of consecutive naturals, for example, 18186690 + ... + 18204808.

It is an arithmetic number, because the mean of its divisors is an integer number (6579190800).

Almost surely, 2329688776131 is an apocalyptic number.

329688776131 is a deficient number, since it is larger than the sum of its proper divisors (91379435069).

329688776131 is a wasteful number, since it uses less digits than its factorization.

329688776131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380.

The product of its digits is 18289152, while the sum is 61.

The spelling of 329688776131 in words is "three hundred twenty-nine billion, six hundred eighty-eight million, seven hundred seventy-six thousand, one hundred thirty-one".

Divisors: 1 11 13 19 37 143 181 209 247 407 481 703 1991 2353 2717 3439 5291 6697 7733 9139 18119 25883 37829 44707 73667 87061 100529 127243 199309 235547 344261 491777 670403 957671 1399673 1654159 2591017 3279539 3786871 4475393 7374433 8715239 12737657 18195749 36074929 42634007 49229323 62311241 95867629 121342943 140114227 165589541 468974077 685423651 810046133 1334772373 1577458259 1821484951 2305515917 8910507463 17352040849 25360675087 29971706921 329688776131