Search a number
-
+
20430544644064 = 253759569514001
BaseRepresentation
bin1001010010100110110110…
…10110110010011111100000
32200100010210210011120020001
410221103123112302133200
510134213223412102224
6111241355044025344
74206025641065212
oct451233326623740
980303723146201
1020430544644064
1165675aa912625
12235b6b0092254
13b52790aa0859
14508bb4d225b2
152566a30de544
hex1294db5b27e0

20430544644064 has 96 divisors (see below), whose sum is σ = 42083810949600. Its totient is φ = 9753532416000.

The previous prime is 20430544644047. The next prime is 20430544644157. The reversal of 20430544644064 is 46044644503402.

It is a congruent number.

It is an unprimeable number.

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, 39491064 + ... + 40005064.

It is an arithmetic number, because the mean of its divisors is an integer number (438373030725).

Almost surely, 220430544644064 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 20430544644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041905474800).

20430544644064 is an abundant number, since it is smaller than the sum of its proper divisors (21653266305536).

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

20430544644064 is a wasteful number, since it uses less digits than its factorization.

20430544644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514676 (or 514668 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 46.

The spelling of 20430544644064 in words is "twenty trillion, four hundred thirty billion, five hundred forty-four million, six hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 59 74 118 148 236 296 472 569 592 944 1138 1184 1888 2183 2276 4366 4552 8732 9104 17464 18208 21053 33571 34928 42106 67142 69856 84212 134284 168424 268568 336848 514001 537136 673696 1028002 1074272 1242127 2056004 2484254 4112008 4968508 8224016 9937016 16448032 19018037 19874032 30326059 38036074 39748064 60652118 76072148 121304236 152144296 242608472 292466569 304288592 485216944 584933138 608577184 970433888 1122064183 1169866276 2244128366 2339732552 4488256732 4679465104 8976513464 9358930208 10821263053 17255527571 17953026928 21642526106 34511055142 35906053856 43285052212 69022110284 86570104424 138044220568 173140208848 276088441136 346280417696 552176882272 638454520127 1276909040254 2553818080508 5107636161016 10215272322032 20430544644064