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6085935104 = 2221451
BaseRepresentation
bin1011010101100000…
…00000000000000000
3120201010202112110212
411222300000000000
544430444410404
62443522413252
7303546411014
oct55260000000
916633675425
106085935104
112643396137
12121a201228
1375cb26742
1441a3bc544
1525946006e
hex16ac00000

6085935104 has 46 divisors (see below), whose sum is σ = 12180257364. Its totient is φ = 3040870400.

The previous prime is 6085935091. The next prime is 6085935109. The reversal of 6085935104 is 4015395806.

It is not an unprimeable number, because it can be changed into a prime (6085935109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4193579 + ... + 4195029.

Almost surely, 26085935104 is an apocalyptic number.

6085935104 is a gapful number since it is divisible by the number (64) 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 6085935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090128682).

6085935104 is an abundant number, since it is smaller than the sum of its proper divisors (6094322260).

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

6085935104 is an frugal number, since it uses more digits than its factorization.

6085935104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 6085935104 is about 78012.4035266188. The cubic root of 6085935104 is about 1825.7547492094.

The spelling of 6085935104 in words is "six billion, eighty-five million, nine hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1451 2048 2902 4096 5804 8192 11608 16384 23216 32768 46432 65536 92864 131072 185728 262144 371456 524288 742912 1048576 1485824 2097152 2971648 4194304 5943296 11886592 23773184 47546368 95092736 190185472 380370944 760741888 1521483776 3042967552 6085935104