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1863130896 = 24341121092
BaseRepresentation
bin110111100001101…
…0001111100010000
311210211210212010000
41233003101330100
512303430142041
6504513210000
764112231334
oct15703217420
94724725100
101863130896
11876763900
1243bb60900
13238cc5123
1413962b7c4
15ad878bb6
hex6f0d1f10

1863130896 has 225 divisors, whose sum is σ = 5982106053. Its totient is φ = 559405440.

The previous prime is 1863130891. The next prime is 1863130903. The reversal of 1863130896 is 6980313681.

It is a happy number.

The square root of 1863130896 is 43164.

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

1863130896 is a `hidden beast` number, since 1 + 8 + 631 + 3 + 0 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1298593296 + 564537600 = 36036^2 + 23760^2 .

It is not an unprimeable number, because it can be changed into a prime (1863130891) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17092890 + ... + 17092998.

Almost surely, 21863130896 is an apocalyptic number.

1863130896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1863130896 is the 43164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1863130896

1863130896 is an abundant number, since it is smaller than the sum of its proper divisors (4118975157).

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

1863130896 is a wasteful number, since it uses less digits than its factorization.

1863130896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 1863130896 is about 1230.4985961947.

Multiplying 1863130896 by its product of nonzero digits (186624), we get a square (347704940335104 = 186468482).

The spelling of 1863130896 in words is "one billion, eight hundred sixty-three million, one hundred thirty thousand, eight hundred ninety-six".