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4905960768 = 263247181219
BaseRepresentation
bin1001001000110101…
…10000010101000000
3110122220102121222200
410210122300111000
540021411221033
62130451433200
7232400656422
oct44432602500
913586377880
104905960768
112098317a35
12b4abb5800
13602524287
143477c2812
151daa7d013
hex1246b0540

4905960768 has 84 divisors (see below), whose sum is σ = 14361322560. Its totient is φ = 1600517376.

The previous prime is 4905960767. The next prime is 4905960779. The reversal of 4905960768 is 8670695094.

4905960768 is a `hidden beast` number, since 49 + 0 + 596 + 0 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4905960767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63538 + ... + 117681.

Almost surely, 24905960768 is an apocalyptic number.

4905960768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4905960768 is an abundant number, since it is smaller than the sum of its proper divisors (9455361792).

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

4905960768 is a wasteful number, since it uses less digits than its factorization.

4905960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181284 (or 181271 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 4905960768 is about 70042.5639736296. The cubic root of 4905960768 is about 1699.1877051256.

The spelling of 4905960768 in words is "four billion, nine hundred five million, nine hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3384 4512 6768 9024 13536 27072 181219 362438 543657 724876 1087314 1449752 1630971 2174628 2899504 3261942 4349256 5799008 6523884 8517293 8698512 11598016 13047768 17034586 17397024 25551879 26095536 34069172 34794048 51103758 52191072 68138344 76655637 102207516 104382144 136276688 153311274 204415032 272553376 306622548 408830064 545106752 613245096 817660128 1226490192 1635320256 2452980384 4905960768