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48313399331384 = 231117139626337097
BaseRepresentation
bin10101111110000110101110…
…00000010100101000111000
320100001201022212110000001122
422333003113000110220320
522313031320212101014
6250430511431404412
713114346034321455
oct1277032700245070
9210051285400048
1048313399331384
11144376634385a0
125503563823708
1320c5c1b028375
14bd054969482c
1558bb2087358e
hex2bf0d7014a38

48313399331384 has 128 divisors (see below), whose sum is σ = 105408417139200. Its totient is φ = 20516307824640.

The previous prime is 48313399331363. The next prime is 48313399331447.

48313399331384 is nontrivially palindromic in base 10.

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, 1302334724 + ... + 1302371820.

It is an arithmetic number, because the mean of its divisors is an integer number (823503258900).

Almost surely, 248313399331384 is an apocalyptic number.

48313399331384 is a gapful number since it is divisible by the number (44) 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 48313399331384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704208569600).

48313399331384 is an abundant number, since it is smaller than the sum of its proper divisors (57095017807816).

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

48313399331384 is a wasteful number, since it uses less digits than its factorization.

48313399331384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43533 (or 43529 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 62.

The spelling of 48313399331384 in words is "forty-eight trillion, three hundred thirteen billion, three hundred ninety-nine million, three hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 139 187 278 374 556 748 1112 1496 1529 2363 3058 4726 6116 6263 9452 12232 12526 18904 25052 25993 37097 50104 51986 68893 74194 103972 106471 137786 148388 207944 212942 275572 296776 408067 425884 551144 630649 816134 851768 870557 1171181 1261298 1632268 1741114 2342362 2522596 3264536 3482228 4684724 5045192 5156483 6937139 6964456 9369448 9576127 10312966 13874278 14799469 19152254 20625932 27748556 29598938 38304508 41251864 55497112 56721313 59197876 76609016 87660211 113442626 118395752 162794159 175320422 226885252 232338511 325588318 350640844 453770504 464677022 651176636 701281688 929354044 964262321 1302353272 1858708088 1928524642 2555723621 3857049284 3949754687 5111447242 7714098568 7899509374 10222894484 15799018748 20445788968 31598037496 32295053029 43447301557 64590106058 86894603114 129180212116 173789206228 258360424232 347578412456 355245583319 549015901493 710491166638 1098031802986 1420982333276 2196063605972 2841964666552 4392127211944 6039174916423 12078349832846 24156699665692 48313399331384