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5125646000 = 245314231801
BaseRepresentation
bin1001100011000001…
…10010011010110000
3111020012210210110202
410301200302122300
540444131133000
62204340214332
7241006162226
oct46140623260
914205723422
105125646000
1121a0325782
12bb069a3a8
13638bb1637
14368a4ab16
151eeec4dd5
hex1318326b0

5125646000 has 80 divisors (see below), whose sum is σ = 12409408128. Its totient is φ = 2047680000.

The previous prime is 5125645999. The next prime is 5125646011. The reversal of 5125646000 is 6465215.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2845100 + ... + 2846900.

Almost surely, 25125646000 is an apocalyptic number.

5125646000 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 5125646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204704064).

5125646000 is an abundant number, since it is smaller than the sum of its proper divisors (7283762128).

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

5125646000 is a wasteful number, since it uses less digits than its factorization.

5125646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 5125646000 is about 71593.6170339228. The cubic root of 5125646000 is about 1724.1810577442.

The spelling of 5125646000 in words is "five billion, one hundred twenty-five million, six hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1423 1801 2000 2846 3602 5692 7115 7204 9005 11384 14230 14408 18010 22768 28460 28816 35575 36020 45025 56920 71150 72040 90050 113840 142300 144080 177875 180100 225125 284600 355750 360200 450250 569200 711500 720400 900500 1423000 1801000 2562823 2846000 3602000 5125646 10251292 12814115 20502584 25628230 41005168 51256460 64070575 102512920 128141150 205025840 256282300 320352875 512564600 640705750 1025129200 1281411500 2562823000 5125646000