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4643040403464 = 23337971011134723
BaseRepresentation
bin100001110010000101011…
…0001100010000000001000
3121102212111110122210101120
41003210022301202000020
51102032421320402324
613512552221315240
7656306604153021
oct103441261420010
917385443583346
104643040403464
11153011429a341
1262ba28a05b20
13278ab56980a8
14120a1d8b3c48
1580b996d5179
hex4390ac62008

4643040403464 has 256 divisors, whose sum is σ = 12273709351680. Its totient is φ = 1462203187200.

The previous prime is 4643040403457. The next prime is 4643040403487.

4643040403464 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 983067807 + ... + 983072529.

It is an arithmetic number, because the mean of its divisors is an integer number (47944177155).

Almost surely, 24643040403464 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 4643040403464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136854675840).

4643040403464 is an abundant number, since it is smaller than the sum of its proper divisors (7630668948216).

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

4643040403464 is a wasteful number, since it uses less digits than its factorization.

4643040403464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 4643040403464 in words is "four trillion, six hundred forty-three billion, forty million, four hundred three thousand, four hundred sixty-four".