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4330963648 = 26112717877
BaseRepresentation
bin1000000100010010…
…10100001011000000
3102011211110202020001
410002021110023000
532332211314043
61553431325344
7212216404114
oct40211241300
912154422201
104330963648
111922797100
12a0a520854
13540370cab
142d12a7744
151a534d74d
hex1022542c0

4330963648 has 84 divisors (see below), whose sum is σ = 9580845456. Its totient is φ = 1940646400.

The previous prime is 4330963633. The next prime is 4330963667. The reversal of 4330963648 is 8463690334.

It is a super-2 number, since 2×43309636482 = 37514492240594935808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4330963598 and 4330963607.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545886 + ... + 553762.

It is an arithmetic number, because the mean of its divisors is an integer number (114057684).

Almost surely, 24330963648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4330963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790422728).

4330963648 is an abundant number, since it is smaller than the sum of its proper divisors (5249881808).

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

4330963648 is a wasteful number, since it uses less digits than its factorization.

4330963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The square root of 4330963648 is about 65810.0573468828. The cubic root of 4330963648 is about 1630.0271800955.

The spelling of 4330963648 in words is "four billion, three hundred thirty million, nine hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 121 142 176 242 284 352 484 568 704 781 968 1136 1562 1936 2272 3124 3872 4544 6248 7744 7877 8591 12496 15754 17182 24992 31508 34364 49984 63016 68728 86647 126032 137456 173294 252064 274912 346588 504128 549824 559267 693176 953117 1118534 1386352 1906234 2237068 2772704 3812468 4474136 5545408 6151937 7624936 8948272 12303874 15249872 17896544 24607748 30499744 35793088 49215496 60999488 67671307 98430992 135342614 196861984 270685228 393723968 541370456 1082740912 2165481824 4330963648