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5106404880 = 2432513035443
BaseRepresentation
bin1001100000101110…
…11000111000010000
3111011212121020121200
410300113120320100
540424214424010
62202411551200
7240353503533
oct46027307020
914155536550
105106404880
112190483625
12ba615b500
13634c05765
1436627ca1a
151ed473cc0
hex1305d8e10

5106404880 has 120 divisors (see below), whose sum is σ = 17165323968. Its totient is φ = 1360412928.

The previous prime is 5106404873. The next prime is 5106404981. The reversal of 5106404880 is 884046015.

5106404880 is a `hidden beast` number, since 5 + 1 + 0 + 640 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 935439 + ... + 940881.

Almost surely, 25106404880 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 5106404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8582661984).

5106404880 is an abundant number, since it is smaller than the sum of its proper divisors (12058919088).

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

5106404880 is a wasteful number, since it uses less digits than its factorization.

5106404880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5106404880 is about 71459.1133446253. The cubic root of 5106404880 is about 1722.0208894826.

The spelling of 5106404880 in words is "five billion, one hundred six million, four hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1303 2606 3909 5212 5443 6515 7818 10424 10886 11727 13030 15636 16329 19545 20848 21772 23454 26060 27215 31272 32658 39090 43544 46908 48987 52120 54430 58635 62544 65316 78180 81645 87088 93816 97974 104240 108860 117270 130632 156360 163290 187632 195948 217720 234540 244935 261264 312720 326580 391896 435440 469080 489870 653160 783792 938160 979740 1306320 1959480 3918960 7092229 14184458 21276687 28368916 35461145 42553374 56737832 63830061 70922290 85106748 106383435 113475664 127660122 141844580 170213496 212766870 255320244 283689160 319150305 340426992 425533740 510640488 567378320 638300610 851067480 1021280976 1276601220 1702134960 2553202440 5106404880