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4468685360 = 245373314561
BaseRepresentation
bin1000010100101101…
…01011101000110000
3102112102121201220012
410022112223220300
533122440412420
62015231234052
7215511125126
oct41226535060
912472551805
104468685360
1119935024a7
12a48678928
13562a61329
143056b7916
151b24a4dc5
hex10a5aba30

4468685360 has 80 divisors (see below), whose sum is σ = 10705079712. Its totient is φ = 1733529600.

The previous prime is 4468685359. The next prime is 4468685369. The reversal of 4468685360 is 635868644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4468685299 and 4468685308.

It is not an unprimeable number, because it can be changed into a prime (4468685369) 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, 977480 + ... + 982040.

Almost surely, 24468685360 is an apocalyptic number.

4468685360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4468685360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352539856).

4468685360 is an abundant number, since it is smaller than the sum of its proper divisors (6236394352).

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

4468685360 is a wasteful number, since it uses less digits than its factorization.

4468685360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The square root of 4468685360 is about 66848.2263040688. The cubic root of 4468685360 is about 1647.1251267247.

The spelling of 4468685360 in words is "four billion, four hundred sixty-eight million, six hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 331 370 592 662 740 1324 1480 1655 2648 2960 3310 4561 5296 6620 9122 12247 13240 18244 22805 24494 26480 36488 45610 48988 61235 72976 91220 97976 122470 168757 182440 195952 244940 337514 364880 489880 675028 843785 979760 1350056 1509691 1687570 2700112 3019382 3375140 6038764 6750280 7548455 12077528 13500560 15096910 24155056 30193820 55858567 60387640 111717134 120775280 223434268 279292835 446868536 558585670 893737072 1117171340 2234342680 4468685360