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48364699646384 = 24116729313998239
BaseRepresentation
bin10101111111100110010001…
…01111011111100110110000
320100020121202002001000112022
422333303020233133212300
522314401401102141014
6250510234123251012
713121143225646162
oct1277631057374660
9210217662030468
1048364699646384
11144573990a3540
1255114a0079a68
1320caa052b3544
14bd2c14988932
1558d12446ba8e
hex2bfcc8bdf9b0

48364699646384 has 80 divisors (see below), whose sum is σ = 104105246837760. Its totient is φ = 21581923418880.

The previous prime is 48364699646287. The next prime is 48364699646411.

48364699646384 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×483646996463842 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48364699646299 and 48364699646308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3544064 + ... + 10454175.

It is an arithmetic number, because the mean of its divisors is an integer number (1301315585472).

Almost surely, 248364699646384 is an apocalyptic number.

48364699646384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48364699646384 is an abundant number, since it is smaller than the sum of its proper divisors (55740547191376).

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

48364699646384 is a wasteful number, since it uses less digits than its factorization.

48364699646384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13998618 (or 13998612 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 80.

The spelling of 48364699646384 in words is "forty-eight trillion, three hundred sixty-four billion, six hundred ninety-nine million, six hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 293 536 586 737 1072 1172 1474 2344 2948 3223 4688 5896 6446 11792 12892 19631 25784 39262 51568 78524 157048 215941 314096 431882 863764 1727528 3455056 13998239 27996478 55992956 111985912 153980629 223971824 307961258 615922516 937882013 1231845032 1875764026 2463690064 3751528052 4101484027 7503056104 8202968054 10316702143 15006112208 16405936108 20633404286 32811872216 41266808572 45116324297 65623744432 82533617144 90232648594 165067234288 180465297188 274799429809 360930594376 549598859618 721861188752 1099197719236 2198395438472 3022793727899 4396790876944 6045587455798 12091174911596 24182349823192 48364699646384