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4110964992 = 28321784273
BaseRepresentation
bin1111010100001000…
…0101100100000000
3101121111111122210200
43311002011210000
531404401334432
61515532125200
7203605424451
oct36502054400
911544448720
104110964992
11181a594932
12968906800
13506904084
142add9b128
15190d93a7c
hexf5085900

4110964992 has 54 divisors (see below), whose sum is σ = 11852932182. Its totient is φ = 1370320896.

The previous prime is 4110964987. The next prime is 4110964993. The reversal of 4110964992 is 2994690114.

It can be written as a sum of positive squares in only one way, i.e., 2088124416 + 2022840576 = 45696^2 + 44976^2 .

It is a super-4 number, since 4×41109649924 (a number of 40 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (4110964993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 889833 + ... + 894440.

Almost surely, 24110964992 is an apocalyptic number.

It is an amenable number.

4110964992 is an abundant number, since it is smaller than the sum of its proper divisors (7741967190).

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

4110964992 is a wasteful number, since it uses less digits than its factorization.

4110964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784295 (or 1784278 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4110964992 is about 64116.8074064827. The cubic root of 4110964992 is about 1601.9461984017.

The spelling of 4110964992 in words is "four billion, one hundred ten million, nine hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1784273 3568546 5352819 7137092 10705638 14274184 16058457 21411276 28548368 32116914 42822552 57096736 64233828 85645104 114193472 128467656 171290208 228386944 256935312 342580416 456773888 513870624 685160832 1027741248 1370321664 2055482496 4110964992