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4251020000 = 25541712503
BaseRepresentation
bin1111110101100001…
…0110101011100000
3101222021001012011012
43331120112223200
532201230120000
61541454040052
7210226034213
oct37530265340
911867035135
104251020000
111891654277
129a77a9028
13529930466
142c481777a
1519d30b735
hexfd616ae0

4251020000 has 120 divisors (see below), whose sum is σ = 11074217616. Its totient is φ = 1600256000.

The previous prime is 4251019973. The next prime is 4251020009. The reversal of 4251020000 is 201524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 333749 + ... + 346251.

Almost surely, 24251020000 is an apocalyptic number.

4251020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4251020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537108808).

4251020000 is an abundant number, since it is smaller than the sum of its proper divisors (6823197616).

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

4251020000 is a wasteful number, since it uses less digits than its factorization.

4251020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4251020000 is about 65199.8466255865. The cubic root of 4251020000 is about 1619.9354747454.

Adding to 4251020000 its reverse (201524), we get a palindrome (4251221524).

The spelling of 4251020000 in words is "four billion, two hundred fifty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3400 4000 4250 5000 6800 8500 10000 10625 12503 13600 17000 20000 21250 25006 34000 42500 50012 62515 68000 85000 100024 125030 170000 200048 212551 250060 312575 340000 400096 425102 500120 625150 850204 1000240 1062755 1250300 1562875 1700408 2000480 2125510 2500600 3125750 3400816 4251020 5001200 5313775 6251500 6801632 7814375 8502040 10002400 10627550 12503000 15628750 17004080 21255100 25006000 26568875 31257500 34008160 42510200 50012000 53137750 62515000 85020400 106275500 125030000 132844375 170040800 212551000 250060000 265688750 425102000 531377500 850204000 1062755000 2125510000 4251020000