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200984242644 = 223217332271073
BaseRepresentation
bin1011101100101110011…
…0000010100111010100
3201012202221022101120200
42323023212002213110
511243103431231034
6232155245500500
720343401606043
oct2731346024724
9635687271520
10200984242644
1178267402279
1232b51271730
1315c50200083
149a28aca55a
155364a91a99
hex2ecb9829d4

200984242644 has 36 divisors (see below), whose sum is σ = 510980185716. Its totient is φ = 66607492608.

The previous prime is 200984242643. The next prime is 200984242649. The reversal of 200984242644 is 446242489002.

200984242644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 85023561744 + 115960680900 = 291588^2 + 340530^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2009842426442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200984242644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200984242643) 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 11 ways as a sum of consecutive naturals, for example, 16129309 + ... + 16141764.

Almost surely, 2200984242644 is an apocalyptic number.

It is an amenable number.

200984242644 is an abundant number, since it is smaller than the sum of its proper divisors (309995943072).

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

200984242644 is a wasteful number, since it uses less digits than its factorization.

200984242644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32271256 (or 32271251 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 200984242644 in words is "two hundred billion, nine hundred eighty-four million, two hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 32271073 64542146 96813219 129084292 193626438 290439657 387252876 580879314 1161758628 5582895629 11165791258 16748686887 22331582516 33497373774 50246060661 66994747548 100492121322 200984242644