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4892973696 = 273313108907
BaseRepresentation
bin1001000111010010…
…01101101010000000
3110121222222211002000
410203221031222000
540010100124241
62125305224000
7232152406302
oct44351155200
913558884060
104892973696
112090a57616
12b46792000
135cc927c10
14345ba1972
151d9864eb6
hex123a4da80

4892973696 has 128 divisors (see below), whose sum is σ = 15552062400. Its totient is φ = 1505516544.

The previous prime is 4892973667. The next prime is 4892973751. The reversal of 4892973696 is 6963792984.

4892973696 is a `hidden beast` number, since 489 + 2 + 97 + 3 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 9526 + ... + 99381.

Almost surely, 24892973696 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 4892973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776031200).

4892973696 is an abundant number, since it is smaller than the sum of its proper divisors (10659088704).

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

4892973696 is a wasteful number, since it uses less digits than its factorization.

4892973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108943 (or 108925 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 4892973696 is about 69949.7941097756. The cubic root of 4892973696 is about 1697.6870154437.

The spelling of 4892973696 in words is "four billion, eight hundred ninety-two million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 108907 217814 326721 435628 653442 871256 980163 1306884 1415791 1742512 1960326 2613768 2831582 2940489 3485024 3920652 4247373 5227536 5663164 5880978 6970048 7841304 8494746 10455072 11326328 11761956 12742119 13940096 15682608 16989492 20910144 22652656 23523912 25484238 31365216 33978984 38226357 41820288 45305312 47047824 50968476 62730432 67957968 76452714 90610624 94095648 101936952 125460864 135915936 152905428 181221248 188191296 203873904 271831872 305810856 376382592 407747808 543663744 611621712 815495616 1223243424 1630991232 2446486848 4892973696