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48480444912 = 2436126716199
BaseRepresentation
bin101101001001101010…
…001110000111110000
311122010200111202220210
4231021222032013300
51243241443214122
634134400104120
73334250660664
oct551152160760
9148120452823
1048480444912
1119618a468a9
129490005040
134757cc19c3
1424bc9ba8a4
1513db28640c
hexb49a8e1f0

48480444912 has 80 divisors (see below), whose sum is σ = 127362483200. Its totient is φ = 15886713600.

The previous prime is 48480444911. The next prime is 48480444917. The reversal of 48480444912 is 21944408484.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48480444911) 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 15 ways as a sum of consecutive naturals, for example, 7817589 + ... + 7823787.

It is an arithmetic number, because the mean of its divisors is an integer number (1592031040).

Almost surely, 248480444912 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 48480444912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63681241600).

48480444912 is an abundant number, since it is smaller than the sum of its proper divisors (78882038288).

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

48480444912 is a wasteful number, since it uses less digits than its factorization.

48480444912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 48480444912 in words is "forty-eight billion, four hundred eighty million, four hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2671 2928 5342 6199 8013 10684 12398 16026 18597 21368 24796 32052 37194 42736 49592 64104 74388 99184 128208 148776 162931 297552 325862 378139 488793 651724 756278 977586 1134417 1303448 1512556 1955172 2268834 2606896 3025112 3910344 4537668 6050224 7820688 9075336 16557529 18150672 33115058 49672587 66230116 99345174 132460232 198690348 264920464 397380696 794761392 1010009269 2020018538 3030027807 4040037076 6060055614 8080074152 12120111228 16160148304 24240222456 48480444912