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5198410000 = 2454721032
BaseRepresentation
bin1001101011101100…
…10111000100010000
3111102021201120220201
410311312113010100
541121243110000
62215455544544
7242551520200
oct46566270420
914367646821
105198410000
112228404413
121010b2b154
1364acaa264
1437458c400
1520659996a
hex135d97110

5198410000 has 225 divisors, whose sum is σ = 14784229251. Its totient is φ = 1765008000.

The previous prime is 5198409977. The next prime is 5198410027. The reversal of 5198410000 is 148915.

It is a happy number.

The square root of 5198410000 is 72100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 407555344 + 4790854656 = 20188^2 + 69216^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50469949 + ... + 50470051.

Almost surely, 25198410000 is an apocalyptic number.

5198410000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5198410000 is the 72100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5198410000

5198410000 is an abundant number, since it is smaller than the sum of its proper divisors (9585819251).

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

5198410000 is an equidigital number, since it uses as much as digits as its factorization.

5198410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 5198410000 is about 1732.3016131713.

Adding to 5198410000 its reverse (148915), we get a palindrome (5198558915).

The spelling of 5198410000 in words is "five billion, one hundred ninety-eight million, four hundred ten thousand".