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13927009764 = 22329435771613
BaseRepresentation
bin11001111100001110…
…10100110111100100
31022221121010101210110
430332013110313210
5212010303303024
610221544053020
71002060426003
oct147607246744
938847111713
1013927009764
1159a7485628
122848164170
13140c4642a5
14961916c3a
15567a16629
hex33e1d4de4

13927009764 has 96 divisors (see below), whose sum is σ = 34479688320. Its totient is φ = 4367720448.

The previous prime is 13927009751. The next prime is 13927009769. The reversal of 13927009764 is 46790072931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13927009769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8633422 + ... + 8635034.

It is an arithmetic number, because the mean of its divisors is an integer number (359163420).

Almost surely, 213927009764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13927009764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239844160).

13927009764 is an abundant number, since it is smaller than the sum of its proper divisors (20552678556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13927009764 is a wasteful number, since it uses less digits than its factorization.

13927009764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 13927009764 in words is "thirteen billion, nine hundred twenty-seven million, nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 577 1154 1247 1613 1731 2308 2494 3226 3462 3741 4839 4988 6452 6924 7482 9678 14964 16733 19356 24811 33466 46777 49622 50199 66932 69359 74433 93554 99244 100398 138718 140331 148866 187108 200796 208077 277436 280662 297732 416154 561324 719519 832308 930701 1439038 1861402 2011411 2158557 2792103 2878076 3722804 4022822 4317114 5584206 6034233 8045644 8634228 11168412 12068466 24136932 26990329 40020143 53980658 80040286 80970987 107961316 120060429 160080572 161941974 240120858 323883948 480241716 1160584147 2321168294 3481752441 4642336588 6963504882 13927009764