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48450309380 = 225112102119609
BaseRepresentation
bin101101000111110111…
…010000110100000100
311122001120210201201222
4231013313100310010
51243211234400010
634131402135512
73333433556204
oct550767206404
9148046721658
1048450309380
1119602a33600
129481ab1598
1347519a0125
1424b89b4404
1513d87d2355
hexb47dd0d04

48450309380 has 72 divisors (see below), whose sum is σ = 111951372120. Its totient is φ = 17600140800.

The previous prime is 48450309337. The next prime is 48450309389. The reversal of 48450309380 is 8390305484.

It can be written as a sum of positive squares in 4 ways, for example, as 21752710144 + 26697599236 = 147488^2 + 163394^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (48450309389) 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 23 ways as a sum of consecutive naturals, for example, 2461016 + ... + 2480624.

Almost surely, 248450309380 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 48450309380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55975686060).

48450309380 is an abundant number, since it is smaller than the sum of its proper divisors (63501062740).

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

48450309380 is a wasteful number, since it uses less digits than its factorization.

48450309380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20661 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 48450309380 in words is "forty-eight billion, four hundred fifty million, three hundred nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1021 1210 2042 2420 4084 5105 10210 11231 19609 20420 22462 39218 44924 56155 78436 98045 112310 123541 196090 215699 224620 247082 392180 431398 494164 617705 862796 1078495 1235410 2156990 2372689 2470820 4313980 4745378 9490756 11863445 20020789 23726890 40041578 47453780 80083156 100103945 200207890 220228679 400415780 440457358 880914716 1101143395 2202286790 2422515469 4404573580 4845030938 9690061876 12112577345 24225154690 48450309380