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48408840480832 = 2613292213906613
BaseRepresentation
bin10110000000111000011111…
…01111011010100001000000
320100101211200022210202000121
423000130033233122201000
522321112301130341312
6250542414142430024
713124265123600466
oct1300341757324100
9210354608722017
1048408840480832
111447408a487807
125519b5a892314
132101c1b1c75b0
14bd500108a836
1558e359747707
hex2c070fbda840

48408840480832 has 112 divisors (see below), whose sum is σ = 107066362742640. Its totient is φ = 21562337599488.

The previous prime is 48408840480829. The next prime is 48408840480839. The reversal of 48408840480832 is 23808404880484.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2668831926336 + 45740008554496 = 1633656^2 + 6763136^2 .

It is not an unprimeable number, because it can be changed into a prime (48408840480839) 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, 52941958 + ... + 53848570.

It is an arithmetic number, because the mean of its divisors is an integer number (955949667345).

Almost surely, 248408840480832 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 48408840480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53533181371320).

48408840480832 is an abundant number, since it is smaller than the sum of its proper divisors (58657522261808).

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

48408840480832 is a wasteful number, since it uses less digits than its factorization.

48408840480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908880 (or 908870 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 61.

The spelling of 48408840480832 in words is "forty-eight trillion, four hundred eight billion, eight hundred forty million, four hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 2213 3016 4426 6032 8852 12064 17704 24128 28769 35408 57538 64177 70816 115076 128354 141632 230152 256708 460304 513416 834301 906613 920608 1026832 1668602 1813226 1841216 2053664 3337204 3626452 4107328 6674408 7252904 11785969 13348816 14505808 23571938 26291777 26697632 29011616 47143876 52583554 53395264 58023232 94287752 105167108 188575504 210334216 341793101 377151008 420668432 683586202 754302016 841336864 1367172404 1682673728 2006334569 2734344808 4012669138 5468689616 8025338276 10937379232 16050676552 21874758464 26082349397 32101353104 52164698794 58183702501 64202706208 104329397588 116367405002 128405412416 208658795176 232734810004 417317590352 465469620008 756388132513 834635180704 930939240016 1512776265026 1669270361408 1861878480032 3025552530052 3723756960064 6051105060104 12102210120208 24204420240416 48408840480832