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6619661136 = 243211311131193
BaseRepresentation
bin1100010101001000…
…00000001101010000
3122002100001121221200
412022210000031100
5102024113124021
63012510151200
7323020122414
oct61244001520
918070047850
106619661136
112897698430
121348ab2500
1381658976a
1446b232d44
1528b23b126
hex18a900350

6619661136 has 240 divisors, whose sum is σ = 21064223232. Its totient is φ = 1922457600.

The previous prime is 6619661089. The next prime is 6619661137. The reversal of 6619661136 is 6311669166.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6619661091 and 6619661100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6619661137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5548156 + ... + 5549348.

Almost surely, 26619661136 is an apocalyptic number.

6619661136 is a gapful number since it is divisible by the number (66) 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 6619661136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532111616).

6619661136 is an abundant number, since it is smaller than the sum of its proper divisors (14444562096).

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

6619661136 is a wasteful number, since it uses less digits than its factorization.

6619661136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1353 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 6619661136 is about 81361.2999896142. The cubic root of 6619661136 is about 1877.6382308658.

The spelling of 6619661136 in words is "six billion, six hundred nineteen million, six hundred sixty-one thousand, one hundred thirty-six".