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4218242704 = 2413212492
BaseRepresentation
bin1111101101101101…
…0100011010010000
3101212222100221011021
43323123110122100
532114332231304
61534323325224
7206350320454
oct37333243220
911788327137
104218242704
1118750a71a5
12998820814
13522bc5300
142c0324664
1519a4d4a54
hexfb6d4690

4218242704 has 45 divisors (see below), whose sum is σ = 8856976923. Its totient is φ = 1945322496.

The previous prime is 4218242671. The next prime is 4218242737. The reversal of 4218242704 is 4072428124.

The square root of 4218242704 is 64948.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4218242671) and next prime (4218242737).

It can be written as a sum of positive squares in 4 ways, for example, as 906010000 + 3312232704 = 30100^2 + 57552^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4218242704.

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 8 ways as a sum of consecutive naturals, for example, 3376672 + ... + 3377920.

Almost surely, 24218242704 is an apocalyptic number.

4218242704 is the 64948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218242704

4218242704 is an abundant number, since it is smaller than the sum of its proper divisors (4638734219).

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

4218242704 is an equidigital number, since it uses as much as digits as its factorization.

4218242704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 34.

The cubic root of 4218242704 is about 1615.7612483440.

The spelling of 4218242704 in words is "four billion, two hundred eighteen million, two hundred forty-two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1249 1352 2498 2704 4996 9992 16237 19984 32474 64948 129896 211081 259792 422162 844324 1560001 1688648 3120002 3377296 6240004 12480008 20280013 24960016 40560026 81120052 162240104 263640169 324480208 527280338 1054560676 2109121352 4218242704