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6001010048 = 271130713883
BaseRepresentation
bin1011001011011000…
…00010010110000000
3120111012221220012102
411211230002112000
544242224310143
62431250245532
7301465513055
oct54554022600
916435856172
106001010048
1125aa460740
1211b58868a8
13748360727
1440cdd302c
15251c870b8
hex165b02580

6001010048 has 64 divisors (see below), whose sum is σ = 13085392320. Its totient is φ = 2718650880.

The previous prime is 6001010009. The next prime is 6001010053. The reversal of 6001010048 is 8400101006.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425315 + ... + 439197.

It is an arithmetic number, because the mean of its divisors is an integer number (204459255).

Almost surely, 26001010048 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 6001010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542696160).

6001010048 is an abundant number, since it is smaller than the sum of its proper divisors (7084382272).

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

6001010048 is a wasteful number, since it uses less digits than its factorization.

6001010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14215 (or 14203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 6001010048 is about 77466.1864815869. The cubic root of 6001010048 is about 1817.2225526121. Note that the first 3 decimals are identical.

The spelling of 6001010048 in words is "six billion, one million, ten thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 307 352 614 704 1228 1408 2456 3377 4912 6754 9824 13508 13883 19648 27016 27766 39296 54032 55532 108064 111064 152713 216128 222128 305426 432256 444256 610852 888512 1221704 1777024 2443408 4262081 4886816 8524162 9773632 17048324 19547264 34096648 46882891 68193296 93765782 136386592 187531564 272773184 375063128 545546368 750126256 1500252512 3000505024 6001010048