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48459400120 = 23523268719603
BaseRepresentation
bin101101001000011001…
…111100001110111000
311122002012220120220001
4231020121330032320
51243221101300440
634132325042344
73333604050625
oct551031741670
9148065816801
1048459400120
111960808260a
129484b563b4
134753833b71
1424b9c9d34c
1513d94cab9a
hexb4867c3b8

48459400120 has 64 divisors (see below), whose sum is σ = 113822392320. Its totient is φ = 18533142144.

The previous prime is 48459400111. The next prime is 48459400153. The reversal of 48459400120 is 2100495484.

48459400120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48459400120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2462239 + ... + 2481841.

It is an arithmetic number, because the mean of its divisors is an integer number (1778474880).

Almost surely, 248459400120 is an apocalyptic number.

48459400120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48459400120 is an abundant number, since it is smaller than the sum of its proper divisors (65362992200).

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

48459400120 is a wasteful number, since it uses less digits than its factorization.

48459400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22324 (or 22320 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 48459400120 in words is "forty-eight billion, four hundred fifty-nine million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2687 5374 10748 13435 19603 21496 26870 39206 53740 61801 78412 98015 107480 123602 156824 196030 247204 309005 392060 450869 494408 618010 784120 901738 1236020 1803476 2254345 2472040 3606952 4508690 9017380 18034760 52673261 105346522 210693044 263366305 421386088 526732610 1053465220 1211485003 2106930440 2422970006 4845940012 6057425015 9691880024 12114850030 24229700060 48459400120