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48057184340 = 22511372159563
BaseRepresentation
bin101100110000011011…
…100111000001010100
311121001012001220120022
4230300123213001110
51241410114344330
634024400124312
73320621220104
oct546033470124
9147035056508
1048057184340
1119421033980
129392306698
1346bb3c7b69
14247c6bd204
1513b402aae5
hexb306e7054

48057184340 has 72 divisors (see below), whose sum is σ = 113151300192. Its totient is φ = 17002926720.

The previous prime is 48057184297. The next prime is 48057184361. The reversal of 48057184340 is 4348175084.

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

It is a junction number, because it is equal to n+sod(n) for n = 48057184291 and 48057184300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221399 + ... + 380961.

It is an arithmetic number, because the mean of its divisors is an integer number (1571545836).

Almost surely, 248057184340 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 48057184340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56575650096).

48057184340 is an abundant number, since it is smaller than the sum of its proper divisors (65094115852).

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

48057184340 is a wasteful number, since it uses less digits than its factorization.

48057184340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159657 (or 159618 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 48057184340 in words is "forty-eight billion, fifty-seven million, one hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1369 1628 2035 2738 4070 5476 6845 8140 13690 15059 27380 30118 60236 75295 150590 159563 301180 319126 638252 797815 1595630 1755193 3191260 3510386 5903831 7020772 8775965 11807662 17551930 23615324 29519155 35103860 59038310 64942141 118076620 129884282 218441747 259768564 324710705 436883494 649421410 873766988 1092208735 1298842820 2184417470 2402859217 4368834940 4805718434 9611436868 12014296085 24028592170 48057184340