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5096290304 = 2117834283
BaseRepresentation
bin1001011111100001…
…10011100000000000
3111011011120101000202
410233300303200000
540414122242204
62201411104332
7240201516140
oct45760634000
914134511022
105096290304
1121857a5376
12ba28a20a8
13632aa39c1
14364ba8920
151ec626e1e
hex12fc33800

5096290304 has 96 divisors (see below), whose sum is σ = 11788882560. Its totient is φ = 2157305856.

The previous prime is 5096290279. The next prime is 5096290307. The reversal of 5096290304 is 4030926905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5096290307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187747 + ... + 1192029.

It is an arithmetic number, because the mean of its divisors is an integer number (122800860).

Almost surely, 25096290304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5096290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894441280).

5096290304 is an abundant number, since it is smaller than the sum of its proper divisors (6692592256).

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

5096290304 is an equidigital number, since it uses as much as digits as its factorization.

5096290304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 5096290304 is about 71388.3064934307. The cubic root of 5096290304 is about 1720.8831664187.

The spelling of 5096290304 in words is "five billion, ninety-six million, two hundred ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 256 332 448 512 581 664 896 1024 1162 1328 1792 2048 2324 2656 3584 4283 4648 5312 7168 8566 9296 10624 14336 17132 18592 21248 29981 34264 37184 42496 59962 68528 74368 84992 119924 137056 148736 169984 239848 274112 297472 355489 479696 548224 594944 710978 959392 1096448 1189888 1421956 1918784 2192896 2488423 2843912 3837568 4385792 4976846 5687824 7675136 8771584 9953692 11375648 15350272 19907384 22751296 30700544 39814768 45502592 61401088 79629536 91005184 159259072 182010368 318518144 364020736 637036288 728041472 1274072576 2548145152 5096290304