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994427784100 = 2252997212
BaseRepresentation
bin11100111100010001000…
…00111100101110100100
310112001210101022112021101
432132020200330232210
5112243042003042400
62040500034325444
7131562563461432
oct16361040745644
93461711275241
10994427784100
11353809617693
12140887a29884
1372a0aa1b87a
14361b8391d52
151ad0247e56a
hexe78883cba4

994427784100 has 27 divisors (see below), whose sum is σ = 2157929931171. Its totient is φ = 397767124800.

The previous prime is 994427784071. The next prime is 994427784109. The reversal of 994427784100 is 1487724499.

The square root of 994427784100 is 997210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59431613796 + 934996170304 = 243786^2 + 966952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (994427784109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9922240 + ... + 10021960.

Almost surely, 2994427784100 is an apocalyptic number.

994427784100 is the 997210-th square number.

It is an amenable number.

994427784100 is an abundant number, since it is smaller than the sum of its proper divisors (1163502147071).

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

994427784100 is an frugal number, since it uses more digits than its factorization.

994427784100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199456 (or 99728 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 994427784100 in words is "nine hundred ninety-four billion, four hundred twenty-seven million, seven hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 99721 199442 398884 498605 997210 1994420 2493025 4986050 9972100 9944277841 19888555682 39777111364 49721389205 99442778410 198885556820 248606946025 497213892050 994427784100