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5105928096 = 253347125737
BaseRepresentation
bin1001100000101011…
…00100011110100000
3111011211201000121000
410300111210132200
540424104144341
62202353432000
7240346446513
oct46025443640
914154630530
105105928096
112190188395
12ba5b6b600
13634a99739
14366196d7a
151ed3cc8b6
hex1305647a0

5105928096 has 96 divisors (see below), whose sum is σ = 15209268480. Its totient is φ = 1665750528.

The previous prime is 5105928077. The next prime is 5105928101. The reversal of 5105928096 is 6908295015.

5105928096 is a `hidden beast` number, since 51 + 0 + 592 + 8 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22261 + ... + 103476.

It is an arithmetic number, because the mean of its divisors is an integer number (158429880).

Almost surely, 25105928096 is an apocalyptic number.

It is an amenable number.

5105928096 is an abundant number, since it is smaller than the sum of its proper divisors (10103340384).

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

5105928096 is a wasteful number, since it uses less digits than its factorization.

5105928096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125803 (or 125789 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5105928096 is about 71455.7772052057. Note that the first 3 decimals coincide. The cubic root of 5105928096 is about 1721.9672928994.

The spelling of 5105928096 in words is "five billion, one hundred five million, nine hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 40608 125737 251474 377211 502948 754422 1005896 1131633 1508844 2011792 2263266 3017688 3394899 4023584 4526532 5909639 6035376 6789798 9053064 11819278 12070752 13579596 17728917 18106128 23638556 27159192 35457834 36212256 47277112 53186751 54318384 70915668 94554224 106373502 108636768 141831336 159560253 189108448 212747004 283662672 319120506 425494008 567325344 638241012 850988016 1276482024 1701976032 2552964048 5105928096