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4978635648 = 27371852171
BaseRepresentation
bin1001010001011111…
…11111001110000000
3110211222011220011220
410220233333032000
540144012320043
62142005235040
7234242463510
oct45057771600
913758156156
104978635648
112125345718
12b6b402a80
136145bb46c
143532dd840
151e2136483
hex128bff380

4978635648 has 64 divisors (see below), whose sum is σ = 15113723520. Its totient is φ = 1422466560.

The previous prime is 4978635601. The next prime is 4978635661. The reversal of 4978635648 is 8465368794.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4978635591 and 4978635600.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 923398 + ... + 928773.

It is an arithmetic number, because the mean of its divisors is an integer number (236151930).

Almost surely, 24978635648 is an apocalyptic number.

4978635648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4978635648 is an abundant number, since it is smaller than the sum of its proper divisors (10135087872).

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

4978635648 is a wasteful number, since it uses less digits than its factorization.

4978635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852195 (or 1852183 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The square root of 4978635648 is about 70559.4476168854. The cubic root of 4978635648 is about 1707.5369676884.

The spelling of 4978635648 in words is "four billion, nine hundred seventy-eight million, six hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 1852171 3704342 5556513 7408684 11113026 12965197 14817368 22226052 25930394 29634736 38895591 44452104 51860788 59269472 77791182 88904208 103721576 118538944 155582364 177808416 207443152 237077888 311164728 355616832 414886304 622329456 711233664 829772608 1244658912 1659545216 2489317824 4978635648