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4946554464 = 2531711232699
BaseRepresentation
bin1001001101101011…
…00110111001100000
3110202201211000001220
410212311212321200
540112304220324
62134501455040
7233403006405
oct44665467140
913681730056
104946554464
112109223645
12b60711480
1360aa68107
1434cd4c2ac
151de3eab79
hex126d66e60

4946554464 has 96 divisors (see below), whose sum is σ = 13765852800. Its totient is φ = 1549903872.

The previous prime is 4946554441. The next prime is 4946554507. The reversal of 4946554464 is 4644556494.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831387 + ... + 1834085.

It is an arithmetic number, because the mean of its divisors is an integer number (143394300).

Almost surely, 24946554464 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 4946554464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882926400).

4946554464 is an abundant number, since it is smaller than the sum of its proper divisors (8819298336).

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

4946554464 is a wasteful number, since it uses less digits than its factorization.

4946554464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3844 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The square root of 4946554464 is about 70331.7457767117. The cubic root of 4946554464 is about 1703.8614029088.

The spelling of 4946554464 in words is "four billion, nine hundred forty-six million, five hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1123 1632 2246 2699 3369 4492 5398 6738 8097 8984 10796 13476 16194 17968 19091 21592 26952 32388 35936 38182 43184 45883 53904 57273 64776 76364 86368 91766 107808 114546 129552 137649 152728 183532 229092 259104 275298 305456 367064 458184 550596 610912 734128 916368 1101192 1468256 1832736 2202384 3030977 4404768 6061954 9092931 12123908 18185862 24247816 36371724 48495632 51526609 72743448 96991264 103053218 145486896 154579827 206106436 290973792 309159654 412212872 618319308 824425744 1236638616 1648851488 2473277232 4946554464