Search a number
-
+
19329613924452 = 223132923091850447
BaseRepresentation
bin1000110010100100001101…
…10001011000100001100100
32112102220010000210100012120
410121102012301120201210
510013144022131040302
6105035522501545540
74033342565265336
oct431220661304144
975386100710176
1019329613924452
116182709158177
1222022607152b0
13aa2a0c234520
144ab7b5dc3456
15237c1aa949bc
hex119486c58864

19329613924452 has 96 divisors (see below), whose sum is σ = 50268530188800. Its totient is φ = 5739994670592.

The previous prime is 19329613924337. The next prime is 19329613924471. The reversal of 19329613924452 is 25442931692391.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9520693 + ... + 11371139.

It is an arithmetic number, because the mean of its divisors is an integer number (523630522800).

Almost surely, 219329613924452 is an apocalyptic number.

19329613924452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19329613924452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25134265094400).

19329613924452 is an abundant number, since it is smaller than the sum of its proper divisors (30938916264348).

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

19329613924452 is a wasteful number, since it uses less digits than its factorization.

19329613924452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852805 (or 1852803 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 60.

The spelling of 19329613924452 in words is "nineteen trillion, three hundred twenty-nine billion, six hundred thirteen million, nine hundred twenty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 2309 4524 4618 6927 9236 13854 27708 30017 60034 66961 90051 120068 133922 180102 200883 267844 360204 401766 803532 870493 1740986 1850447 2611479 3481972 3700894 5222958 5551341 7401788 10445916 11102682 22205364 24055811 48111622 53662963 72167433 96223244 107325926 144334866 160988889 214651852 288669732 321977778 643955556 697618519 1395237038 2092855557 2790474076 4185711114 4272682123 8371422228 8545364246 12818046369 17090728492 25636092738 51272185476 55544867599 111089735198 123907781567 166634602797 222179470396 247815563134 333269205594 371723344701 495631126268 666538411188 743446689402 1486893378804 1610801160371 3221602320742 4832403481113 6443204641484 9664806962226 19329613924452