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19530062500 = 2256132432
BaseRepresentation
bin10010001100000101…
…010001101010100100
31212102002020222012011
4102030011101222210
5304444144000000
612545541004004
71260654535504
oct221405215244
955362228164
1019530062500
118312236023
1239506b3604
131ac321a100
14d33b17a04
157948902ba
hex48c151aa4

19530062500 has 189 divisors, whose sum is σ = 47361366423. Its totient is φ = 7043400000.

The previous prime is 19530062483. The next prime is 19530062501. The reversal of 19530062500 is 526003591.

The square root of 19530062500 is 139750.

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

It can be written as a sum of positive squares in 10 ways, for example, as 9161935524 + 10368126976 = 95718^2 + 101824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19530062501) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 454187479 + ... + 454187521.

Almost surely, 219530062500 is an apocalyptic number.

19530062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19530062500 is the 139750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19530062500

19530062500 is an abundant number, since it is smaller than the sum of its proper divisors (27831303923).

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

19530062500 is an frugal number, since it uses more digits than its factorization.

19530062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

Multiplying 19530062500 by its product of nonzero digits (8100), we get a square (158193506250000 = 125775002).

The spelling of 19530062500 in words is "nineteen billion, five hundred thirty million, sixty-two thousand, five hundred".