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4991701200 = 2435219972083
BaseRepresentation
bin1001010011000011…
…10101000011010000
3110212212202200202020
410221201311003100
540210333414300
62143153251440
7234461521503
oct45141650320
913785680666
104991701200
112131759aa2
12b73863b80
13617214465
14354d4113a
151e33678a0
hex1298750d0

4991701200 has 120 divisors (see below), whose sum is σ = 16005770208. Its totient is φ = 1329815040.

The previous prime is 4991701193. The next prime is 4991701213. The reversal of 4991701200 is 21071994.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 2395359 + ... + 2397441.

Almost surely, 24991701200 is an apocalyptic number.

4991701200 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 4991701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002885104).

4991701200 is an abundant number, since it is smaller than the sum of its proper divisors (11014069008).

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

4991701200 is a wasteful number, since it uses less digits than its factorization.

4991701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 4991701200 is about 70651.9723716189. The cubic root of 4991701200 is about 1709.0293728959.

The spelling of 4991701200 in words is "four billion, nine hundred ninety-one million, seven hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1997 2083 3994 4166 5991 6249 7988 8332 9985 10415 11982 12498 15976 16664 19970 20830 23964 24996 29955 31245 31952 33328 39940 41660 47928 49925 49992 52075 59910 62490 79880 83320 95856 99850 99984 104150 119820 124980 149775 156225 159760 166640 199700 208300 239640 249960 299550 312450 399400 416600 479280 499920 599100 624900 798800 833200 1198200 1249800 2396400 2499600 4159751 8319502 12479253 16639004 20798755 24958506 33278008 41597510 49917012 62396265 66556016 83195020 99834024 103993775 124792530 166390040 199668048 207987550 249585060 311981325 332780080 415975100 499170120 623962650 831950200 998340240 1247925300 1663900400 2495850600 4991701200