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6001011104 = 251161727631
BaseRepresentation
bin1011001011011000…
…00010100110100000
3120111012221221122112
411211230002212200
544242224323404
62431250254452
7301465516124
oct54554024640
916435857575
106001011104
1125aa461510
1211b5887428
1374836105a
1440cdd3584
15251c8756e
hex165b029a0

6001011104 has 48 divisors (see below), whose sum is σ = 12909891456. Its totient is φ = 2723212800.

The previous prime is 6001011077. The next prime is 6001011113. The reversal of 6001011104 is 4011101006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203369 + ... + 230999.

It is an arithmetic number, because the mean of its divisors is an integer number (268956072).

Almost surely, 26001011104 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 6001011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454945728).

6001011104 is an abundant number, since it is smaller than the sum of its proper divisors (6908880352).

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

6001011104 is a wasteful number, since it uses less digits than its factorization.

6001011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28269 (or 28261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 6001011104 is about 77466.1932974636. The cubic root of 6001011104 is about 1817.2226592046. Note that the first 3 decimals are identical.

The spelling of 6001011104 in words is "six billion, one million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 617 1234 2468 4936 6787 9872 13574 19744 27148 27631 54296 55262 108592 110524 217184 221048 303941 442096 607882 884192 1215764 2431528 4863056 9726112 17048327 34096654 68193308 136386616 187531597 272773232 375063194 545546464 750126388 1500252776 3000505552 6001011104