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48770660880 = 24325269325153
BaseRepresentation
bin101101011010111101…
…010011101000010000
311122212220121021101100
4231122331103220100
51244340242122010
634223244304400
73344403530454
oct553275235020
9148786537340
1048770660880
1119757848407
129551242100
1347a3175326
142509364664
1514069b12c0
hexb5af53a10

48770660880 has 120 divisors (see below), whose sum is σ = 163855470168. Its totient is φ = 13000163328.

The previous prime is 48770660879. The next prime is 48770660893. The reversal of 48770660880 is 8806607784.

48770660880 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 4 ways, for example, as 4307034384 + 44463626496 = 65628^2 + 210864^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926384 + ... + 1951536.

Almost surely, 248770660880 is an apocalyptic number.

48770660880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48770660880 is an abundant number, since it is smaller than the sum of its proper divisors (115084809288).

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

48770660880 is a wasteful number, since it uses less digits than its factorization.

48770660880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27865 (or 27856 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 48770660880 in words is "forty-eight billion, seven hundred seventy million, six hundred sixty thousand, eight hundred eighty".

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 2693 5386 8079 10772 13465 16158 21544 24237 25153 26930 32316 40395 43088 48474 50306 53860 64632 75459 80790 96948 100612 107720 121185 125765 129264 150918 161580 193896 201224 215440 226377 242370 251530 301836 323160 377295 387792 402448 452754 484740 503060 603672 646320 754590 905508 969480 1006120 1131885 1207344 1509180 1811016 1938960 2012240 2263770 3018360 3622032 4527540 6036720 9055080 18110160 67737029 135474058 203211087 270948116 338685145 406422174 541896232 609633261 677370290 812844348 1016055435 1083792464 1219266522 1354740580 1625688696 2032110870 2438533044 2709481160 3048166305 3251377392 4064221740 4877066088 5418962320 6096332610 8128443480 9754132176 12192665220 16256886960 24385330440 48770660880