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6190213120 = 21157213273
BaseRepresentation
bin1011100001111011…
…10010100000000000
3120222101222102000121
411300331302200000
5100134143304440
62502125430024
7306253641400
oct56075624000
916871872017
106190213120
112697239813
12124910b314
13778607500
1442a1a4800
152636ac34a
hex170f72800

6190213120 has 432 divisors, whose sum is σ = 18965435580. Its totient is φ = 1932263424.

The previous prime is 6190213097. The next prime is 6190213177. The reversal of 6190213120 is 213120916.

It can be written as a sum of positive squares in 6 ways, for example, as 759112704 + 5431100416 = 27552^2 + 73696^2 .

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 35 ways as a sum of consecutive naturals, for example, 84797404 + ... + 84797476.

Almost surely, 26190213120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6190213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482717790).

6190213120 is an abundant number, since it is smaller than the sum of its proper divisors (12775222460).

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

6190213120 is a wasteful number, since it uses less digits than its factorization.

6190213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 6190213120 is about 78677.9074454831. The cubic root of 6190213120 is about 1836.1234073586.

The spelling of 6190213120 in words is "six billion, one hundred ninety million, two hundred thirteen thousand, one hundred twenty".