Search a number
-
+
20424679108360 = 23537107641201211
BaseRepresentation
bin1001010010011011111011…
…01111100010111100001000
32200022120200000010110212221
410221031331233202330020
510134114220322431420
6111234545033143424
74205430405623062
oct451157557427410
980276600113787
1020424679108360
11656506a98285a
12235a53385ab74
13b52067824577
145087b9d16732
1525645d1b7caa
hex12937dbe2f08

20424679108360 has 128 divisors (see below), whose sum is σ = 47713224493440. Its totient is φ = 7862449766400.

The previous prime is 20424679108333. The next prime is 20424679108367. The reversal of 20424679108360 is 6380197642402.

It is a junction number, because it is equal to n+sod(n) for n = 20424679108298 and 20424679108307.

It is not an unprimeable number, because it can be changed into a prime (20424679108367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101408155 + ... + 101609365.

It is an arithmetic number, because the mean of its divisors is an integer number (372759566355).

Almost surely, 220424679108360 is an apocalyptic number.

20424679108360 is a gapful number since it is divisible by the number (20) 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 20424679108360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23856612246720).

20424679108360 is an abundant number, since it is smaller than the sum of its proper divisors (27288545385080).

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

20424679108360 is a wasteful number, since it uses less digits than its factorization.

20424679108360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202007 (or 202003 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 20424679108360 in words is "twenty trillion, four hundred twenty-four billion, six hundred seventy-nine million, one hundred eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 107 148 185 214 296 370 428 535 641 740 856 1070 1282 1480 2140 2564 3205 3959 4280 5128 6410 7918 12820 15836 19795 23717 25640 31672 39590 47434 68587 79180 94868 118585 137174 158360 189736 201211 237170 274348 342935 402422 474340 548696 685870 804844 948680 1006055 1371740 1609688 2012110 2537719 2743480 4024220 5075438 7444807 8048440 10150876 12688595 14889614 20301752 21529577 25377190 29779228 37224035 43059154 50754380 59558456 74448070 86118308 101508760 107647885 128976251 148896140 172236616 215295770 257952502 297792280 430591540 515905004 644881255 796594349 861183080 1031810008 1289762510 1593188698 2579525020 3186377396 3982971745 4772121287 5159050040 6372754792 7965943490 9544242574 13800458857 15931886980 19088485148 23860606435 27600917714 31863773960 38176970296 47721212870 55201835428 69002294285 95442425740 110403670856 138004588570 190884851480 276009177140 510616977709 552018354280 1021233955418 2042467910836 2553084888545 4084935821672 5106169777090 10212339554180 20424679108360