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4642622064 = 2432293730047
BaseRepresentation
bin1000101001011100…
…01100101001110000
3102222112220122012100
410110232030221300
534002002401224
62044403300400
7223022431203
oct42456145160
912875818170
104642622064
111a72703743
12a9697a700
1358cac1462
1432083393a
151c28b1ac9
hex114b8ca70

4642622064 has 120 divisors (see below), whose sum is σ = 13804652160. Its totient is φ = 1453745664.

The previous prime is 4642622057. The next prime is 4642622069. The reversal of 4642622064 is 4602262464.

4642622064 is a `hidden beast` number, since 4 + 6 + 426 + 220 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642622069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139489 + ... + 169535.

It is an arithmetic number, because the mean of its divisors is an integer number (115038768).

Almost surely, 24642622064 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 4642622064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6902326080).

4642622064 is an abundant number, since it is smaller than the sum of its proper divisors (9162030096).

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

4642622064 is a wasteful number, since it uses less digits than its factorization.

4642622064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30127 (or 30118 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4642622064 is about 68136.7893578792. The cubic root of 4642622064 is about 1668.2243025998.

The spelling of 4642622064 in words is "four billion, six hundred forty-two million, six hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 37 48 58 72 74 87 111 116 144 148 174 222 232 261 296 333 348 444 464 522 592 666 696 888 1044 1073 1332 1392 1776 2088 2146 2664 3219 4176 4292 5328 6438 8584 9657 12876 17168 19314 25752 30047 38628 51504 60094 77256 90141 120188 154512 180282 240376 270423 360564 480752 540846 721128 871363 1081692 1111739 1442256 1742726 2163384 2223478 2614089 3335217 3485452 4326768 4446956 5228178 6670434 6970904 7842267 8893912 10005651 10456356 13340868 13941808 15684534 17787824 20011302 20912712 26681736 31369068 32240431 40022604 41825424 53363472 62738136 64480862 80045208 96721293 125476272 128961724 160090416 193442586 257923448 290163879 386885172 515846896 580327758 773770344 1160655516 1547540688 2321311032 4642622064