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48105942480 = 24325347192547
BaseRepresentation
bin101100110011010101…
…100110110111010000
311121011120211002011100
4230303111212313100
51242010110124410
634033301144400
73322052523111
oct546325466720
9147146732140
1048105942480
1119446606662
1293a66bb100
1346c8539c2b
142484d72208
1513b845c8c0
hexb33566dd0

48105942480 has 120 divisors (see below), whose sum is σ = 162022210272. Its totient is φ = 12791215872.

The previous prime is 48105942439. The next prime is 48105942503. The reversal of 48105942480 is 8424950184.

48105942480 is a `hidden beast` number, since 4 + 8 + 10 + 594 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×481059424803 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153567 + ... + 346113.

Almost surely, 248105942480 is an apocalyptic number.

48105942480 is a gapful number since it is divisible by the number (40) 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 48105942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81011105136).

48105942480 is an abundant number, since it is smaller than the sum of its proper divisors (113916267792).

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

48105942480 is a wasteful number, since it uses less digits than its factorization.

48105942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192913 (or 192904 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 48105942480 in words is "forty-eight billion, one hundred five million, nine hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 347 360 694 720 1041 1388 1735 2082 2776 3123 3470 4164 5205 5552 6246 6940 8328 10410 12492 13880 15615 16656 20820 24984 27760 31230 41640 49968 62460 83280 124920 192547 249840 385094 577641 770188 962735 1155282 1540376 1732923 1925470 2310564 2888205 3080752 3465846 3850940 4621128 5776410 6931692 7701880 8664615 9242256 11552820 13863384 15403760 17329230 23105640 27726768 34658460 46211280 66813809 69316920 133627618 138633840 200441427 267255236 334069045 400882854 534510472 601324281 668138090 801765708 1002207135 1069020944 1202648562 1336276180 1603531416 2004414270 2405297124 2672552360 3006621405 3207062832 4008828540 4810594248 5345104720 6013242810 8017657080 9621188496 12026485620 16035314160 24052971240 48105942480