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496340011423752 = 233270740991863811
BaseRepresentation
bin111000011011010110010101…
…0000100011001100000001000
32102002101122022210100220011220
41300312230222010121200020
51010024013320411030002
64515343241540322040
7206355245116364256
oct16066545204314010
92362348283326156
10496340011423752
11134170686989361
12478020296a3320
13183c487bc49032
148a7cdb01615d6
153c5ae21ae37bc
hex1c36b2a119808

496340011423752 has 64 divisors (see below), whose sum is σ = 1241611912416000. Its totient is φ = 165345115890240.

The previous prime is 496340011423741. The next prime is 496340011423759. The reversal of 496340011423752 is 257324110043694.

It is a super-4 number, since 4×4963400114237524 (a number of 60 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 496340011423695 and 496340011423704.

It is not an unprimeable number, because it can be changed into a prime (496340011423759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265371927 + ... + 267235737.

It is an arithmetic number, because the mean of its divisors is an integer number (19400186131500).

Almost surely, 2496340011423752 is an apocalyptic number.

It is an amenable number.

496340011423752 is an abundant number, since it is smaller than the sum of its proper divisors (745271900992248).

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

496340011423752 is a wasteful number, since it uses less digits than its factorization.

496340011423752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870626 (or 1870622 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 496340011423752 in words is "four hundred ninety-six trillion, three hundred forty billion, eleven million, four hundred twenty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 2707 4099 5414 8121 8198 10828 12297 16242 16396 21656 24594 32484 32792 49188 64968 98376 1863811 3727622 5591433 7455244 11095993 11182866 14910488 22191986 22365732 33287979 44383972 44731464 66575958 88767944 133151916 266303832 5045336377 7639761289 10090672754 15136009131 15279522578 20181345508 22919283867 30272018262 30559045156 40362691016 45838567734 60544036524 61118090312 91677135468 121088073048 183354270936 20680833809323 41361667618646 62042501427969 82723335237292 124085002855938 165446670474584 248170005711876 496340011423752