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6160000256 = 28593131303
BaseRepresentation
bin1011011110010101…
…00010010100000000
3120220022010102202122
411233022202110000
5100103430002011
62455130103412
7305436065264
oct55712422400
916808112678
106160000256
112681183403
12123ab7ab68
13772289687
1442617c0a4
15260be03db
hex16f2a2500

6160000256 has 72 divisors (see below), whose sum is σ = 12553920960. Its totient is φ = 3015806976.

The previous prime is 6160000219. The next prime is 6160000261. The reversal of 6160000256 is 6520000616.

It is a super-3 number, since 3×61600002563 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 4726901 + ... + 4728203.

Almost surely, 26160000256 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 6160000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276960480).

6160000256 is an abundant number, since it is smaller than the sum of its proper divisors (6393920704).

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

6160000256 is a wasteful number, since it uses less digits than its factorization.

6160000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 6160000256 is about 78485.6691122653. The cubic root of 6160000256 is about 1833.1313162601.

The spelling of 6160000256 in words is "six billion, one hundred sixty million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 313 472 626 944 1252 1303 1888 2504 2606 3776 5008 5212 7552 10016 10424 15104 18467 20032 20848 36934 40064 41696 73868 76877 80128 83392 147736 153754 166784 295472 307508 333568 407839 590944 615016 815678 1181888 1230032 1631356 2363776 2460064 3262712 4727552 4920128 6525424 9840256 13050848 19680512 24062501 26101696 48125002 52203392 96250004 104406784 192500008 385000016 770000032 1540000064 3080000128 6160000256