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48371217384 = 23372312779803
BaseRepresentation
bin101101000011001001…
…100011001111101000
311121212001222102220210
4231003021203033220
51243031012424014
634115455021120
73331453364250
oct550311431750
9147761872823
1048371217384
1119572322616
12945b50a7a0
13473b49a129
1424ac2a6960
1513d18ac859
hexb432633e8

48371217384 has 128 divisors (see below), whose sum is σ = 144339978240. Its totient is φ = 13207763712.

The previous prime is 48371217383. The next prime is 48371217439.

48371217384 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48371217383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4929427 + ... + 4939229.

It is an arithmetic number, because the mean of its divisors is an integer number (1127656080).

Almost surely, 248371217384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48371217384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72169989120).

48371217384 is an abundant number, since it is smaller than the sum of its proper divisors (95968760856).

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

48371217384 is a wasteful number, since it uses less digits than its factorization.

48371217384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119 (or 11115 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

It can be divided in two parts, 4837 and 1217384, that added together give a palindrome (1222221).

The spelling of 48371217384 in words is "forty-eight billion, three hundred seventy-one million, two hundred seventeen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1277 1288 1932 2554 3831 3864 5108 7662 8939 9803 10216 15324 17878 19606 26817 29371 29409 30648 35756 39212 53634 58742 58818 68621 71512 78424 88113 107268 117484 117636 137242 176226 205597 205863 214536 225469 234968 235272 274484 352452 411194 411726 450938 548968 616791 676407 704904 822388 823452 901876 1233582 1352814 1578283 1644776 1646904 1803752 2467164 2705628 3156566 4734849 4934328 5411256 6313132 9469698 12518431 12626264 18939396 25036862 37555293 37878792 50073724 75110586 87629017 100147448 150221172 175258034 262887051 287923913 300442344 350516068 525774102 575847826 701032136 863771739 1051548204 1151695652 1727543478 2015467391 2103096408 2303391304 3455086956 4030934782 6046402173 6910173912 8061869564 12092804346 16123739128 24185608692 48371217384