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5030602416 = 243374633593
BaseRepresentation
bin1001010111101100…
…01110011010110000
3110222120222002012000
410223312032122300
540300313234131
62151103134000
7235443262230
oct45366163260
913876862160
105030602416
11215170a064
12b848a4300
136222b4b28
1435a189cc0
151e699dce6
hex12bd8e6b0

5030602416 has 160 divisors (see below), whose sum is σ = 16542750720. Its totient is φ = 1433811456.

The previous prime is 5030602397. The next prime is 5030602433. The reversal of 5030602416 is 6142060305.

5030602416 is a `hidden beast` number, since 50 + 3 + 0 + 602 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5030602416.

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, 1398316 + ... + 1401908.

It is an arithmetic number, because the mean of its divisors is an integer number (103392192).

Almost surely, 25030602416 is an apocalyptic number.

5030602416 is a gapful number since it is divisible by the number (56) 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 5030602416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271375360).

5030602416 is an abundant number, since it is smaller than the sum of its proper divisors (11512148304).

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

5030602416 is a wasteful number, since it uses less digits than its factorization.

5030602416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5030602416 is about 70926.7397812701. The cubic root of 5030602416 is about 1713.4574797710.

The spelling of 5030602416 in words is "five billion, thirty million, six hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 463 504 756 926 1008 1389 1512 1852 2778 3024 3241 3593 3704 4167 5556 6482 7186 7408 8334 9723 10779 11112 12501 12964 14372 16668 19446 21558 22224 25002 25151 25928 28744 29169 32337 33336 38892 43116 50004 50302 51856 57488 58338 64674 66672 75453 77784 86232 87507 97011 100008 100604 116676 129348 150906 155568 172464 175014 194022 200016 201208 226359 233352 258696 301812 350028 388044 402416 452718 466704 517392 603624 679077 700056 776088 905436 1207248 1358154 1400112 1552176 1663559 1810872 2716308 3327118 3621744 4990677 5432616 6654236 9981354 10865232 11644913 13308472 14972031 19962708 23289826 26616944 29944062 34934739 39925416 44916093 46579652 59888124 69869478 79850832 89832186 93159304 104804217 119776248 139738956 179664372 186318608 209608434 239552496 279477912 314412651 359328744 419216868 558955824 628825302 718657488 838433736 1257650604 1676867472 2515301208 5030602416