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48335014440 = 2333544754643
BaseRepresentation
bin101101000000111111…
…011100101000101000
311121202112212010211000
4231000333130220220
51242442230430230
634112123035000
73330533562306
oct550077345050
9147675763730
1048335014440
1119553945829
12944b36ba60
134733b3297b
1424a7561276
1513cd60ab60
hexb40fdca28

48335014440 has 64 divisors (see below), whose sum is σ = 161116718400. Its totient is φ = 12889336896.

The previous prime is 48335014411. The next prime is 48335014457. The reversal of 48335014440 is 4441053384.

48335014440 is a `hidden beast` number, since 48 + 33 + 501 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48335014395 and 48335014404.

It is an unprimeable number.

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, 22376242 + ... + 22378401.

It is an arithmetic number, because the mean of its divisors is an integer number (2517448725).

Almost surely, 248335014440 is an apocalyptic number.

48335014440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48335014440 is an abundant number, since it is smaller than the sum of its proper divisors (112781703960).

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

48335014440 is a wasteful number, since it uses less digits than its factorization.

48335014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44754663 (or 44754653 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 48335014440 in words is "forty-eight billion, three hundred thirty-five million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 44754643 89509286 134263929 179018572 223773215 268527858 358037144 402791787 447546430 537055716 671319645 805583574 895092860 1074111432 1208375361 1342639290 1611167148 1790185720 2013958935 2416750722 2685278580 3222334296 4027917870 4833501444 5370557160 6041876805 8055835740 9667002888 12083753610 16111671480 24167507220 48335014440