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4875668096 = 27133123049
BaseRepresentation
bin1001000101001110…
…01100101010000000
3110120210102121020212
410202213030222000
534441132334341
62123450253252
7231552331535
oct44247145200
913523377225
104875668096
112082207672
12b40a27228
135c9179010
14343778d8c
151d80975eb
hex1229cca80

4875668096 has 96 divisors (see below), whose sum is σ = 10812280500. Its totient is φ = 2177003520.

The previous prime is 4875668069. The next prime is 4875668113. The reversal of 4875668096 is 6908665784.

It can be written as a sum of positive squares in 2 ways, for example, as 4062277696 + 813390400 = 63736^2 + 28520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1597580 + ... + 1600628.

Almost surely, 24875668096 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 4875668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406140250).

4875668096 is an abundant number, since it is smaller than the sum of its proper divisors (5936612404).

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

4875668096 is a wasteful number, since it uses less digits than its factorization.

4875668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 59.

The square root of 4875668096 is about 69825.9843897671. The cubic root of 4875668096 is about 1695.6831762527.

The spelling of 4875668096 in words is "four billion, eight hundred seventy-five million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 961 992 1612 1664 1922 1984 3049 3224 3844 3968 6098 6448 7688 12196 12493 12896 15376 24392 24986 25792 30752 39637 48784 49972 51584 61504 79274 94519 97568 99944 123008 158548 189038 195136 199888 317096 378076 390272 399776 634192 756152 799552 1228747 1268384 1512304 1599104 2457494 2536768 2930089 3024608 4914988 5073536 5860178 6049216 9829976 11720356 12098432 19659952 23440712 38091157 39319904 46881424 76182314 78639808 93762848 152364628 157279616 187525696 304729256 375051392 609458512 1218917024 2437834048 4875668096