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5066367264 = 2535793077
BaseRepresentation
bin1001011011111101…
…01010000100100000
3111002002021010100000
410231332222010200
540333442223024
62154421500000
7236356261020
oct45576520440
914062233300
105066367264
11216a917792
12b94871600
13629827a6a
14360c19a80
151e9bb5cc9
hex12dfaa120

5066367264 has 144 divisors (see below), whose sum is σ = 17075717568. Its totient is φ = 1447517952.

The previous prime is 5066367263. The next prime is 5066367269. The reversal of 5066367264 is 4627636605.

5066367264 is a `hidden beast` number, since 5 + 0 + 6 + 636 + 7 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5066367263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7894 + ... + 100970.

It is an arithmetic number, because the mean of its divisors is an integer number (118581372).

Almost surely, 25066367264 is an apocalyptic number.

5066367264 is a gapful number since it is divisible by the number (54) 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 5066367264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537858784).

5066367264 is an abundant number, since it is smaller than the sum of its proper divisors (12009350304).

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

5066367264 is an equidigital number, since it uses as much as digits as its factorization.

5066367264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93109 (or 93089 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 5066367264 is about 71178.4185269664. The cubic root of 5066367264 is about 1717.5084784387.

The spelling of 5066367264 in words is "five billion, sixty-six million, three hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 93077 186154 279231 372308 558462 651539 744616 837693 1116924 1303078 1489232 1675386 1954617 2233848 2513079 2606156 2978464 3350772 3909234 4467696 5026158 5212312 5863851 6701544 7539237 7818468 8935392 10052316 10424624 11727702 13403088 15078474 15636936 17591553 20104632 20849248 22617711 23455404 26806176 30156948 31273872 35183106 40209264 45235422 46910808 52774659 60313896 62547744 70366212 80418528 90470844 93821616 105549318 120627792 140732424 158323977 180941688 187643232 211098636 241255584 281464848 316647954 361883376 422197272 562929696 633295908 723766752 844394544 1266591816 1688789088 2533183632 5066367264