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4505338064 = 24198921871
BaseRepresentation
bin1000011001000101…
…00000000011010000
3102121222120212221202
410030202200003100
533211331304224
62023021010332
7216434512253
oct41442400320
912558525852
104505338064
111a02167197
12a589b39a8
1356a525416
1430a4d909a
151b57e4eae
hex10c8a00d0

4505338064 has 60 divisors (see below), whose sum is σ = 9297887040. Its totient is φ = 2109000960.

The previous prime is 4505338051. The next prime is 4505338073. The reversal of 4505338064 is 4608335054.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 2407049 + ... + 2408919.

It is an arithmetic number, because the mean of its divisors is an integer number (154964784).

Almost surely, 24505338064 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 4505338064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648943520).

4505338064 is an abundant number, since it is smaller than the sum of its proper divisors (4792548976).

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

4505338064 is a wasteful number, since it uses less digits than its factorization.

4505338064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 4505338064 is about 67121.8151125251. The cubic root of 4505338064 is about 1651.6161775611.

The spelling of 4505338064 in words is "four billion, five hundred five million, three hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 76 89 152 178 304 356 712 1424 1691 1871 3382 3742 6764 7484 7921 13528 14968 15842 27056 29936 31684 35549 63368 71098 126736 142196 150499 166519 284392 300998 333038 568784 601996 666076 1203992 1332152 2407984 2664304 3163861 6327722 12655444 14820191 25310888 29640382 50621776 59280764 118561528 237123056 281583629 563167258 1126334516 2252669032 4505338064