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4950670320 = 2433513031759
BaseRepresentation
bin1001001110001010…
…10011101111110000
3110210000120002222000
410213011103233300
540114332422240
62135130014000
7233453001111
oct44705235760
913700502860
104950670320
112110584982
12b61b77300
1360b87962b
1434d700208
151de960430
hex127153bf0

4950670320 has 160 divisors (see below), whose sum is σ = 17075097600. Its totient is φ = 1318415616.

The previous prime is 4950670313. The next prime is 4950670331. The reversal of 4950670320 is 230760594.

It is a Cunningham number, because it is equal to 703612-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2813601 + ... + 2815359.

It is an arithmetic number, because the mean of its divisors is an integer number (106719360).

Almost surely, 24950670320 is an apocalyptic number.

4950670320 is a gapful number since it is divisible by the number (40) 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 4950670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537548800).

4950670320 is an abundant number, since it is smaller than the sum of its proper divisors (12124427280).

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

4950670320 is a wasteful number, since it uses less digits than its factorization.

4950670320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4950670320 is about 70360.9999928938. Note that the first 5 decimals coincide. The cubic root of 4950670320 is about 1704.3338465110. Note that the first 3 decimals are identical.

The spelling of 4950670320 in words is "four billion, nine hundred fifty million, six hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1303 1759 2160 2606 3518 3909 5212 5277 6515 7036 7818 8795 10424 10554 11727 13030 14072 15636 15831 17590 19545 20848 21108 23454 26060 26385 28144 31272 31662 35180 35181 39090 42216 46908 47493 52120 52770 58635 62544 63324 70360 70362 78180 79155 84432 93816 94986 104240 105540 117270 126648 140720 140724 156360 158310 175905 187632 189972 211080 234540 237465 253296 281448 312720 316620 351810 379944 422160 469080 474930 562896 633240 703620 759888 938160 949860 1266480 1407240 1899720 2291977 2814480 3799440 4583954 6875931 9167908 11459885 13751862 18335816 20627793 22919770 27503724 34379655 36671632 41255586 45839540 55007448 61883379 68759310 82511172 91679080 103138965 110014896 123766758 137518620 165022344 183358160 206277930 247533516 275037240 309416895 330044688 412555860 495067032 550074480 618833790 825111720 990134064 1237667580 1650223440 2475335160 4950670320