Search a number
-
+
54135252105342 = 23193775117089669
BaseRepresentation
bin11000100111100010110000…
…11110001011100001111110
321002200021112210112210202220
430103301120132023201332
524043422444014332332
6311045220321230210
714255100004360122
oct1423613036134176
9232607483483686
1054135252105342
11162816a4568311
1260a3936492366
132428c17550875
14d5223577b582
1563d2aead2d2c
hex313c5878b87e

54135252105342 has 64 divisors (see below), whose sum is σ = 117205058380800. Its totient is φ = 16611157296000.

The previous prime is 54135252105301. The next prime is 54135252105367. The reversal of 54135252105342 is 24350125253145.

It is a junction number, because it is equal to n+sod(n) for n = 54135252105294 and 54135252105303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5377117 + ... + 11712552.

It is an arithmetic number, because the mean of its divisors is an integer number (1831329037200).

Almost surely, 254135252105342 is an apocalyptic number.

54135252105342 is an abundant number, since it is smaller than the sum of its proper divisors (63069806275458).

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

54135252105342 is a wasteful number, since it uses less digits than its factorization.

54135252105342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17090481.

The product of its (nonzero) digits is 720000, while the sum is 42.

Adding to 54135252105342 its reverse (24350125253145), we get a palindrome (78485377358487).

The spelling of 54135252105342 in words is "fifty-four trillion, one hundred thirty-five billion, two hundred fifty-two million, one hundred five thousand, three hundred forty-two".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 222 703 751 1406 1502 2109 2253 4218 4506 14269 27787 28538 42807 55574 83361 85614 166722 527953 1055906 1583859 3167718 17089669 34179338 51269007 102538014 324703711 632317753 649407422 974111133 1264635506 1896953259 1948222266 3793906518 12014037307 12834341419 24028074614 25668682838 36042111921 38503024257 72084223842 77006048514 243852486961 474870632503 487704973922 731557460883 949741265006 1424611897509 1463114921766 2849223795018 9022542017557 18045084035114 27067626052671 54135252105342