Search a number
-
+
5417604437712 = 2432916723305133
BaseRepresentation
bin100111011010110001001…
…1000110101011011010000
3201011220210011112120222120
41032311202120311123100
51202230223214001322
615304451344534240
71066260200625345
oct116654230653320
921156704476876
105417604437712
1117a9658517535
12735b74921380
13303b549b644c
1414a2dba087cc
1595dce8d9a5c
hex4ed626356d0

5417604437712 has 80 divisors (see below), whose sum is σ = 14564776544640. Its totient is φ = 1733156056576.

The previous prime is 5417604437699. The next prime is 5417604437717. The reversal of 5417604437712 is 2177344067145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417604437717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11420103 + ... + 11885030.

It is an arithmetic number, because the mean of its divisors is an integer number (182059706808).

Almost surely, 25417604437712 is an apocalyptic number.

It is an amenable number.

5417604437712 is an abundant number, since it is smaller than the sum of its proper divisors (9147172106928).

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

5417604437712 is a wasteful number, since it uses less digits than its factorization.

5417604437712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23305340 (or 23305334 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 5417604437712 in words is "five trillion, four hundred seventeen billion, six hundred four million, four hundred thirty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 167 174 232 334 348 464 501 668 696 1002 1336 1392 2004 2672 4008 4843 8016 9686 14529 19372 29058 38744 58116 77488 116232 232464 23305133 46610266 69915399 93220532 139830798 186441064 279661596 372882128 559323192 675848857 1118646384 1351697714 2027546571 2703395428 3891957211 4055093142 5406790856 7783914422 8110186284 10813581712 11675871633 15567828844 16220372568 23351743266 31135657688 32440745136 46703486532 62271315376 93406973064 112866759119 186813946128 225733518238 338600277357 451467036476 677200554714 902934072952 1354401109428 1805868145904 2708802218856 5417604437712