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4643963136 = 28322015609
BaseRepresentation
bin1000101001100110…
…10100000100000000
3102222122102202210200
410110303110010000
534002323310021
62044452125200
7223040015061
oct42463240400
912878382720
104643963136
111a7343a26a
12a97306800
135901709a7
14320aa2568
151c2a79126
hex114cd4100

4643963136 has 54 divisors (see below), whose sum is σ = 13389697230. Its totient is φ = 1547986944.

The previous prime is 4643963099. The next prime is 4643963141. The reversal of 4643963136 is 6313693464.

4643963136 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 9 + 631 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4337012736 + 306950400 = 65856^2 + 17520^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4643963091 and 4643963100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005501 + ... + 1010108.

Almost surely, 24643963136 is an apocalyptic number.

It is an amenable number.

4643963136 is an abundant number, since it is smaller than the sum of its proper divisors (8745734094).

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

4643963136 is a wasteful number, since it uses less digits than its factorization.

4643963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015631 (or 2015614 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 4643963136 is about 68146.6296745481. The cubic root of 4643963136 is about 1668.3849153951.

The spelling of 4643963136 in words is "four billion, six hundred forty-three million, nine hundred sixty-three thousand, one hundred thirty-six".

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 2015609 4031218 6046827 8062436 12093654 16124872 18140481 24187308 32249744 36280962 48374616 64499488 72561924 96749232 128998976 145123848 193498464 257997952 290247696 386996928 515995904 580495392 773993856 1160990784 1547987712 2321981568 4643963136