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4609042816 = 27753711367
BaseRepresentation
bin1000100101011100…
…00110100110000000
3102220012201122010111
410102232012212000
533414403332231
62041203441104
7222134134420
oct42256064600
912805648114
104609042816
111a557590a4
12a87686194
13585b65291
1431a1b2480
151be97c4b1
hex112b86980

4609042816 has 128 divisors (see below), whose sum is σ = 10850319360. Its totient is φ = 1909340160.

The previous prime is 4609042811. The next prime is 4609042817. The reversal of 4609042816 is 6182409064.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4609042811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3370965 + ... + 3372331.

It is an arithmetic number, because the mean of its divisors is an integer number (84768120).

Almost surely, 24609042816 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 4609042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425159680).

4609042816 is an abundant number, since it is smaller than the sum of its proper divisors (6241276544).

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

4609042816 is a wasteful number, since it uses less digits than its factorization.

4609042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 4609042816 is about 67889.9316246526. The cubic root of 4609042816 is about 1664.1925781801.

The spelling of 4609042816 in words is "four billion, six hundred nine million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 71 106 112 128 142 212 224 284 371 424 448 497 568 742 848 896 994 1136 1367 1484 1696 1988 2272 2734 2968 3392 3763 3976 4544 5468 5936 6784 7526 7952 9088 9569 10936 11872 15052 15904 19138 21872 23744 26341 30104 31808 38276 43744 47488 52682 60208 63616 72451 76552 87488 97057 105364 120416 144902 153104 174976 194114 210728 240832 289804 306208 388228 421456 481664 507157 579608 612416 679399 776456 842912 1014314 1159216 1224832 1358798 1552912 1685824 2028628 2318432 2717596 3105824 3371648 4057256 4636864 5144021 5435192 6211648 8114512 9273728 10288042 10870384 12423296 16229024 20576084 21740768 32458048 36008147 41152168 43481536 64916096 72016294 82304336 86963072 144032588 164608672 288065176 329217344 576130352 658434688 1152260704 2304521408 4609042816