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5272114000 = 245319713381
BaseRepresentation
bin1001110100011111…
…00001001101010000
3111121102102010210111
410322033201031100
541244130122000
62231051411104
7244435141516
oct47217411520
914542363714
105272114000
112265a7530a
121031753a94
136603449aa
143802964b6
1520cca7cba
hex13a3e1350

5272114000 has 80 divisors (see below), whose sum is σ = 12813639696. Its totient is φ = 2097984000.

The previous prime is 5272113953. The next prime is 5272114013. The reversal of 5272114000 is 4112725.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1205756176 + 4066357824 = 34724^2 + 63768^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387310 + ... + 400690.

Almost surely, 25272114000 is an apocalyptic number.

5272114000 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 5272114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406819848).

5272114000 is an abundant number, since it is smaller than the sum of its proper divisors (7541525696).

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

5272114000 is a wasteful number, since it uses less digits than its factorization.

5272114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13601 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 5272114000 is about 72609.3244700706. The cubic root of 5272114000 is about 1740.4501851839.

Adding to 5272114000 its reverse (4112725), we get a palindrome (5276226725).

The spelling of 5272114000 in words is "five billion, two hundred seventy-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 788 985 1000 1576 1970 2000 3152 3940 4925 7880 9850 13381 15760 19700 24625 26762 39400 49250 53524 66905 78800 98500 107048 133810 197000 214096 267620 334525 394000 535240 669050 1070480 1338100 1672625 2636057 2676200 3345250 5272114 5352400 6690500 10544228 13180285 13381000 21088456 26360570 26762000 42176912 52721140 65901425 105442280 131802850 210884560 263605700 329507125 527211400 659014250 1054422800 1318028500 2636057000 5272114000