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5088814848 = 28331356633
BaseRepresentation
bin1001011110101000…
…10010011100000000
3111010122111120122000
410233110102130000
540410214033343
62200542544000
7240051132615
oct45724223400
914118446560
105088814848
112181559a07
12ba0298000
13631387260
14363bc050c
151ebb4bed3
hex12f512700

5088814848 has 144 divisors (see below), whose sum is σ = 16206385440. Its totient is φ = 1565761536.

The previous prime is 5088814823. The next prime is 5088814877. The reversal of 5088814848 is 8484188805.

5088814848 is a `hidden beast` number, since 5 + 0 + 88 + 81 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5088814794 and 5088814803.

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, 61540 + ... + 118172.

Almost surely, 25088814848 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 5088814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103192720).

5088814848 is an abundant number, since it is smaller than the sum of its proper divisors (11117570592).

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

5088814848 is a wasteful number, since it uses less digits than its factorization.

5088814848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56671 (or 56651 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The square root of 5088814848 is about 71335.9295726915. The cubic root of 5088814848 is about 1720.0413330612.

The spelling of 5088814848 in words is "five billion, eighty-eight million, eight hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 56633 89856 113266 169899 226532 339798 453064 509697 679596 736229 906128 1019394 1359192 1472458 1529091 1812256 2038788 2208687 2718384 2944916 3058182 3624512 4077576 4417374 5436768 5889832 6116364 6626061 7249024 8155152 8834748 10873536 11779664 12232728 13252122 14498048 16310304 17669496 19878183 21747072 23559328 24465456 26504244 32620608 35338992 39756366 43494144 47118656 48930912 53008488 65241216 70677984 79512732 94237312 97861824 106016976 130482432 141355968 159025464 188474624 195723648 212033952 282711936 318050928 391447296 424067904 565423872 636101856 848135808 1272203712 1696271616 2544407424 5088814848