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4468074688 = 267115317107
BaseRepresentation
bin1000010100101000…
…10110100011000000
3102112101110201012201
410022110112203000
533122311342223
62015210202544
7215503002550
oct41224264300
912471421181
104468074688
111993125710
12a48423454
135628a939c
14305599160
151b23d3ead
hex10a5168c0

4468074688 has 112 divisors (see below), whose sum is σ = 11263359744. Its totient is φ = 1707863040.

The previous prime is 4468074673. The next prime is 4468074701. The reversal of 4468074688 is 8864708644.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252631 + ... + 269737.

It is an arithmetic number, because the mean of its divisors is an integer number (100565712).

Almost surely, 24468074688 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 4468074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631679872).

4468074688 is an abundant number, since it is smaller than the sum of its proper divisors (6795285056).

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

4468074688 is a wasteful number, since it uses less digits than its factorization.

4468074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17190 (or 17180 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 55.

The square root of 4468074688 is about 66843.6585473895. The cubic root of 4468074688 is about 1647.0500935448.

The spelling of 4468074688 in words is "four billion, four hundred sixty-eight million, seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 154 176 212 224 308 352 371 424 448 583 616 704 742 848 1166 1232 1484 1696 2332 2464 2968 3392 4081 4664 4928 5936 8162 9328 11872 16324 17107 18656 23744 32648 34214 37312 65296 68428 119749 130592 136856 188177 239498 261184 273712 376354 478996 547424 752708 906671 957992 1094848 1317239 1505416 1813342 1915984 2634478 3010832 3626684 3831968 5268956 6021664 6346697 7253368 7663936 9973381 10537912 12043328 12693394 14506736 19946762 21075824 25386788 29013472 39893524 42151648 50773576 58026944 69813667 79787048 84303296 101547152 139627334 159574096 203094304 279254668 319148192 406188608 558509336 638296384 1117018672 2234037344 4468074688