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209404306980 = 22325115311317659
BaseRepresentation
bin1100001100000101111…
…0000010011000100100
3202000111202010222102100
43003001132002120210
511412330000310410
6240110553012100
721062143145421
oct3030136023044
9660452128370
10209404306980
11808982aa230
12347010b4030
131699278b26b
14a1c709cd48
1556a8db58c0
hex30c1782624

209404306980 has 288 divisors, whose sum is σ = 712300417920. Its totient is φ = 49363292160.

The previous prime is 209404306963. The next prime is 209404306981. The reversal of 209404306980 is 89603404902.

209404306980 is a `hidden beast` number, since 209 + 4 + 0 + 430 + 6 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (209404306981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11849391 + ... + 11867049.

It is an arithmetic number, because the mean of its divisors is an integer number (2473265340).

Almost surely, 2209404306980 is an apocalyptic number.

209404306980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209404306980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356150208960).

209404306980 is an abundant number, since it is smaller than the sum of its proper divisors (502896110940).

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

209404306980 is a wasteful number, since it uses less digits than its factorization.

209404306980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17851 (or 17846 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 209404306980 in words is "two hundred nine billion, four hundred four million, three hundred six thousand, nine hundred eighty".