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6420444444 = 2232296149851
BaseRepresentation
bin1011111101011000…
…00011010100011100
3121120110012101000200
411332230003110130
5101122113210234
62541032223500
7315050606631
oct57654032434
917513171020
106420444444
1127a519aa37
1212b223ab90
137b4217b6b
1444c9b6188
152789d8d99
hex17eb0351c

6420444444 has 36 divisors (see below), whose sum is σ = 16789095960. Its totient is φ = 2066349600.

The previous prime is 6420444431. The next prime is 6420444469. The reversal of 6420444444 is 4444440246.

6420444444 is a `hidden beast` number, since 6 + 4 + 204 + 4 + 4 + 444 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

6420444444 is a modest number, since divided by 444444 gives 6420 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 6420444399 and 6420444408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3073882 + ... + 3075969.

Almost surely, 26420444444 is an apocalyptic number.

It is an amenable number.

6420444444 is an abundant number, since it is smaller than the sum of its proper divisors (10368651516).

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

6420444444 is a wasteful number, since it uses less digits than its factorization.

6420444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149890 (or 6149885 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The square root of 6420444444 is about 80127.6758929148. The cubic root of 6420444444 is about 1858.6104050418.

The spelling of 6420444444 in words is "six billion, four hundred twenty million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 6149851 12299702 18449553 24599404 36899106 55348659 73798212 110697318 178345679 221394636 356691358 535037037 713382716 1070074074 1605111111 2140148148 3210222222 6420444444