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5054148450 = 23252131750821
BaseRepresentation
bin1001011010100000…
…00010111101100010
3111001020021100021100
410231100002331202
540322330222300
62153303535230
7236150360451
oct45520027542
914036240240
105054148450
112163a3159a
12b9075a516
1362713a2b0
1435d358b98
151e8aa0700
hex12d402f62

5054148450 has 144 divisors (see below), whose sum is σ = 15483837096. Its totient is φ = 1170892800.

The previous prime is 5054148443. The next prime is 5054148461. The reversal of 5054148450 is 548414505.

It is a happy number.

5054148450 is a `hidden beast` number, since 505 + 4 + 148 + 4 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1308341241 + 3745807209 = 36171^2 + 61203^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74040 + ... + 124860.

Almost surely, 25054148450 is an apocalyptic number.

5054148450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5054148450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741918548).

5054148450 is an abundant number, since it is smaller than the sum of its proper divisors (10429688646).

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

5054148450 is a wasteful number, since it uses less digits than its factorization.

5054148450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50869 (or 50861 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 5054148450 is about 71092.5344181792. The cubic root of 5054148450 is about 1716.1266329519.

The spelling of 5054148450 in words is "five billion, fifty-four million, one hundred forty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 325 390 425 442 450 510 585 650 663 765 850 975 1105 1170 1275 1326 1530 1950 1989 2210 2550 2925 3315 3825 3978 5525 5850 6630 7650 9945 11050 16575 19890 33150 49725 50821 99450 101642 152463 254105 304926 457389 508210 660673 762315 863957 914778 1270525 1321346 1524630 1727914 1982019 2286945 2541050 2591871 3303365 3811575 3964038 4319785 4573890 5183742 5946057 6606730 7623150 7775613 8639570 9910095 11231441 11434725 11892114 12959355 15551226 16516825 19820190 21598925 22462882 22869450 25918710 29730285 33033650 33694323 38878065 43197850 49550475 56157205 59460570 64796775 67388646 77756130 99100950 101082969 112314410 129593550 148651425 168471615 194390325 202165938 280786025 297302850 336943230 388780650 505414845 561572050 842358075 1010829690 1684716150 2527074225 5054148450