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48468515000 = 235447206249
BaseRepresentation
bin101101001000111100…
…101101100010111000
311122002212001200011012
4231020330231202320
51243230414440000
634133252253052
73334044402623
oct551074554270
9148085050135
1048468515000
1119612238774
129488011188
1347556a5899
1424bb192dba
1513da1cb735
hexb48f2d8b8

48468515000 has 80 divisors (see below), whose sum is σ = 115978500000. Its totient is φ = 18974816000.

The previous prime is 48468514979. The next prime is 48468515009. The reversal of 48468515000 is 51586484.

48468515000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48468515009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131876 + ... + 338124.

It is an arithmetic number, because the mean of its divisors is an integer number (1449731250).

Almost surely, 248468515000 is an apocalyptic number.

48468515000 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 48468515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57989250000).

48468515000 is an abundant number, since it is smaller than the sum of its proper divisors (67509985000).

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

48468515000 is a wasteful number, since it uses less digits than its factorization.

48468515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206322 (or 206303 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 48468515000 in words is "forty-eight billion, four hundred sixty-eight million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 625 940 1000 1175 1250 1880 2350 2500 4700 5000 5875 9400 11750 23500 29375 47000 58750 117500 206249 235000 412498 824996 1031245 1649992 2062490 4124980 5156225 8249960 9693703 10312450 19387406 20624900 25781125 38774812 41249800 48468515 51562250 77549624 96937030 103124500 128905625 193874060 206249000 242342575 257811250 387748120 484685150 515622500 969370300 1031245000 1211712875 1938740600 2423425750 4846851500 6058564375 9693703000 12117128750 24234257500 48468515000