Search a number
-
+
642255501365205 = 35713261593337769
BaseRepresentation
bin1001001000001000001100001…
…1000000111000111111010101
310010020001000201011120012102220
42102002003003000320333111
51133140203231322141310
610153544034254452553
7252165300022520310
oct22202030300707725
93106030634505386
10642255501365205
11176708034a55162
1260049503b04159
132174a584398800
14b4854914d9977
154e3b815b70670
hex24820c3038fd5

642255501365205 has 96 divisors (see below), whose sum is σ = 1292545984976640. Its totient is φ = 266574792407040.

The previous prime is 642255501365197. The next prime is 642255501365287. The reversal of 642255501365205 is 502563105552246.

It is not a de Polignac number, because 642255501365205 - 23 = 642255501365197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295586440 + ... + 297751329.

It is an arithmetic number, because the mean of its divisors is an integer number (13464020676840).

Almost surely, 2642255501365205 is an apocalyptic number.

642255501365205 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

642255501365205 is an abundant number, since it is smaller than the sum of its proper divisors (650290483611435).

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

642255501365205 is a wasteful number, since it uses less digits than its factorization.

642255501365205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593337871 (or 593337858 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 51.

The spelling of 642255501365205 in words is "six hundred forty-two trillion, two hundred fifty-five billion, five hundred one million, three hundred sixty-five thousand, two hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 61 65 91 105 169 183 195 273 305 427 455 507 793 845 915 1183 1281 1365 2135 2379 2535 3549 3965 5551 5915 6405 10309 11895 16653 17745 27755 30927 51545 72163 83265 154635 216489 360815 1082445 593337769 1780013307 2966688845 4153364383 7713390997 8900066535 12460093149 20766821915 23140172991 36193603909 38566954985 53993736979 62300465745 100274082961 108580811727 115700864955 161981210937 180968019545 253355227363 269968684895 300822248883 470516850817 501370414805 542904058635 701918580727 760065682089 809906054685 1266776136815 1411550552451 1504111244415 2105755742181 2352584254085 3293617955719 3509592903635 3800328410445 6116719060621 7057752762255 9880853867157 10528778710905 16468089778595 18350157181863 30583595303105 42817033424347 49404269335785 91750785909315 128451100273041 214085167121735 642255501365205