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6006100600104 = 233115913122712967
BaseRepresentation
bin101011101100110011101…
…1111100010010100101000
3210021011210110220010222020
41113121213133202110220
51241400443223200404
620435055312024440
71156632525521253
oct127314737422450
923234713803866
106006100600104
111a0619a234620
12810032b32120
133474b021c547
1416a9a810809a
15a6374842ed9
hex576677e2528

6006100600104 has 256 divisors, whose sum is σ = 16860308889600. Its totient is φ = 1767566611200.

The previous prime is 6006100600091. The next prime is 6006100600109. The reversal of 6006100600104 is 4010060016006.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6006100600109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463177029 + ... + 463189995.

It is an arithmetic number, because the mean of its divisors is an integer number (65860581600).

Almost surely, 26006100600104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006100600104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430154444800).

6006100600104 is an abundant number, since it is smaller than the sum of its proper divisors (10854208289496).

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

6006100600104 is a wasteful number, since it uses less digits than its factorization.

6006100600104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404 (or 13400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 6006100600104 in words is "six trillion, six billion, one hundred million, six hundred thousand, one hundred four".