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48364465456848 = 24310783911223787
BaseRepresentation
bin10101111111100101110101…
…10010001000011011010000
320100020121010202100221212210
422333302322302020123100
522314400411124104343
6250510154555552120
713121134353243642
oct1277627262103320
9210217122327783
1048364465456848
1114457288989472
12551143575b640
1320ca998918358
14bd2bd1826892
1558d10db0c333
hex2bfcbac886d0

48364465456848 has 80 divisors (see below), whose sum is σ = 126259533872640. Its totient is φ = 15951783404928.

The previous prime is 48364465456847. The next prime is 48364465456849. The reversal of 48364465456848 is 84865456446384.

It is an interprime number because it is at equal distance from previous prime (48364465456847) and next prime (48364465456849).

It is a self number, because there is not a number n which added to its sum of digits gives 48364465456848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48364465456847) 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, 1302790 + ... + 9920997.

It is an arithmetic number, because the mean of its divisors is an integer number (1578244173408).

Almost surely, 248364465456848 is an apocalyptic number.

48364465456848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48364465456848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63129766936320).

48364465456848 is an abundant number, since it is smaller than the sum of its proper divisors (77895068415792).

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

48364465456848 is a wasteful number, since it uses less digits than its factorization.

48364465456848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224744 (or 11224738 counting only the distinct ones).

The product of its digits is 8493465600, while the sum is 75.

The spelling of 48364465456848 in words is "forty-eight trillion, three hundred sixty-four billion, four hundred sixty-five million, four hundred fifty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 839 856 1284 1678 1712 2517 2568 3356 5034 5136 6712 10068 13424 20136 40272 89773 179546 269319 359092 538638 718184 1077276 1436368 2154552 4309104 11223787 22447574 33671361 44895148 67342722 89790296 134685444 179580592 269370888 538741776 1200945209 2401890418 3602835627 4803780836 7205671254 9416757293 9607561672 14411342508 18833514586 19215123344 28250271879 28822685016 37667029172 56500543758 57645370032 75334058344 113001087516 150668116688 226002175032 452004350064 1007593030351 2015186060702 3022779091053 4030372121404 6045558182106 8060744242808 12091116364212 16121488485616 24182232728424 48364465456848