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5151010000 = 24544671103
BaseRepresentation
bin1001100110000011…
…00010110011010000
3111021222112102100011
410303001202303100
541022124310000
62211044004304
7241434601603
oct46301426320
914258472304
105151010000
11220367a064
12bb9090694
13641222416
1436c17033a
152023352ba
hex133062cd0

5151010000 has 100 divisors (see below), whose sum is σ = 12509145792. Its totient is φ = 2054128000.

The previous prime is 5151009973. The next prime is 5151010037. The reversal of 5151010000 is 101515.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 4669449 + ... + 4670551.

Almost surely, 25151010000 is an apocalyptic number.

5151010000 is a gapful number since it is divisible by the number (50) 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 5151010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254572896).

5151010000 is an abundant number, since it is smaller than the sum of its proper divisors (7358135792).

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

5151010000 is a wasteful number, since it uses less digits than its factorization.

5151010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 5151010000 is about 71770.5371304967. The cubic root of 5151010000 is about 1727.0203870436.

Adding to 5151010000 its reverse (101515), we get a palindrome (5151111515).

The spelling of 5151010000 in words is "five billion, one hundred fifty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 467 500 625 934 1000 1103 1250 1868 2000 2206 2335 2500 3736 4412 4670 5000 5515 7472 8824 9340 10000 11030 11675 17648 18680 22060 23350 27575 37360 44120 46700 55150 58375 88240 93400 110300 116750 137875 186800 220600 233500 275750 291875 441200 467000 515101 551500 583750 689375 934000 1030202 1103000 1167500 1378750 2060404 2206000 2335000 2575505 2757500 4120808 4670000 5151010 5515000 8241616 10302020 11030000 12877525 20604040 25755050 41208080 51510100 64387625 103020200 128775250 206040400 257550500 321938125 515101000 643876250 1030202000 1287752500 2575505000 5151010000