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5104670580 = 2232517298129
BaseRepresentation
bin1001100000100001…
…10001011101110100
3111011202100010121100
410300100301131310
540423243424310
62202310450100
7240332661342
oct46020613564
914152303540
105104670580
11218a4a9619
12ba5663930
13634749249
14365d4a992
151ed22eec0
hex130431774

5104670580 has 108 divisors (see below), whose sum is σ = 16448746860. Its totient is φ = 1281159168.

The previous prime is 5104670579. The next prime is 5104670591. The reversal of 5104670580 is 850764015.

5104670580 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 6 + 70 + 580 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 131882256 + 4972788324 = 11484^2 + 70518^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2956 + ... + 101084.

Almost surely, 25104670580 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 5104670580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8224373430).

5104670580 is an abundant number, since it is smaller than the sum of its proper divisors (11344076280).

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

5104670580 is a wasteful number, since it uses less digits than its factorization.

5104670580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98178 (or 98156 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5104670580 is about 71446.9774028265. The cubic root of 5104670580 is about 1721.8259161066.

It can be divided in two parts, 5104 and 670580, that added together give a square (675684 = 8222).

The spelling of 5104670580 in words is "five billion, one hundred four million, six hundred seventy thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 26010 52020 98129 196258 294387 392516 490645 588774 883161 981290 1177548 1471935 1668193 1766322 1962580 2943870 3336386 3532644 4415805 5004579 5887740 6672772 8340965 8831610 10009158 15013737 16681930 17663220 20018316 25022895 28359281 30027474 33363860 50045790 56718562 60054948 75068685 85077843 100091580 113437124 141796405 150137370 170155686 255233529 283592810 300274740 340311372 425389215 510467058 567185620 850778430 1020934116 1276167645 1701556860 2552335290 5104670580