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4838640495481 = 13241241272
BaseRepresentation
bin100011001101001010101…
…1100101010101101111001
3122010120101011201222211001
41012122111130222231321
51113234013431323411
614142501334205001
71006403010413662
oct106322534525571
918116334658731
104838640495481
1115a6068464551
12661916ab3761
13291388287100
1412a2974a2369
1585ce673cdc1
hex4669572ab79

4838640495481 has 27 divisors (see below), whose sum is σ = 5371685158413. Its totient is φ = 4356444031680.

The previous prime is 4838640495457. The next prime is 4838640495527. The reversal of 4838640495481 is 1845940468384.

The square root of 4838640495481 is 2199691.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3222904610025 + 1615735885456 = 1795245^2 + 1271116^2 .

It is not a de Polignac number, because 4838640495481 - 29 = 4838640494969 is a prime.

It is a super-2 number, since 2×48386404954812 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4838640499481) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1172433240 + ... + 1172437366.

Almost surely, 24838640495481 is an apocalyptic number.

4838640495481 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4838640495481 is the 2199691-st square number.

4838640495481 is the 1099846-th centered octagonal number.

It is an amenable number.

4838640495481 is a deficient number, since it is larger than the sum of its proper divisors (533044662932).

4838640495481 is an frugal number, since it uses more digits than its factorization.

4838640495481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 64.

Multiplying 4838640495481 by its sum of digits (64), we get a square (309672991710784 = 175975282).

The spelling of 4838640495481 in words is "four trillion, eight hundred thirty-eight billion, six hundred forty million, four hundred ninety-five thousand, four hundred eighty-one".

Divisors: 1 13 41 169 533 1681 4127 6929 21853 53651 169207 284089 697463 2199691 6937487 17032129 28595983 90187331 221417677 698317289 1172435303 2878429801 9078124757 28631008849 118015621841 372203115037 4838640495481