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48918427920 = 2432567942261
BaseRepresentation
bin101101100011110000…
…111111100100010000
311200021012122121122200
4231203300333210100
51300141104143140
634250043403200
73351146530245
oct554360774420
9150235577580
1048918427920
11198231a4a2a
129592823500
1347c7971a4b
142520c2b5cc
15141494e030
hexb63c3f910

48918427920 has 60 divisors (see below), whose sum is σ = 164284389516. Its totient is φ = 13044913920.

The previous prime is 48918427903. The next prime is 48918427939. The reversal of 48918427920 is 2972481984.

48918427920 is a `hidden beast` number, since 48 + 91 + 8 + 427 + 92 + 0 = 666.

48918427920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31188972816 + 17729455104 = 176604^2 + 133152^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33970411 + ... + 33971850.

Almost surely, 248918427920 is an apocalyptic number.

48918427920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48918427920 is an abundant number, since it is smaller than the sum of its proper divisors (115365961596).

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

48918427920 is a wasteful number, since it uses less digits than its factorization.

48918427920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67942280 (or 67942271 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 48918427920 in words is "forty-eight billion, nine hundred eighteen million, four hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 67942261 135884522 203826783 271769044 339711305 407653566 543538088 611480349 679422610 815307132 1019133915 1087076176 1222960698 1358845220 1630614264 2038267830 2445921396 2717690440 3057401745 3261228528 4076535660 4891842792 5435380880 6114803490 8153071320 9783685584 12229606980 16306142640 24459213960 48918427920