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10309422448 = 2413412295279
BaseRepresentation
bin10011001100111110…
…10100110101110000
3222121110222220221001
421212133110311300
5132103203004243
64422554411344
7513322434133
oct114637246560
928543886831
1010309422448
114410444746
121bb8730b54
13c83b36c90
146db2aa21a
1540512da4d
hex2667d4d70

10309422448 has 80 divisors (see below), whose sum is σ = 22136083200. Its totient is φ = 4620994560.

The previous prime is 10309422419. The next prime is 10309422449. The reversal of 10309422448 is 84422490301.

It is a super-2 number, since 2×103094224482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309422449) 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, 1950273 + ... + 1955551.

It is an arithmetic number, because the mean of its divisors is an integer number (276701040).

Almost surely, 210309422448 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 10309422448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068041600).

10309422448 is an abundant number, since it is smaller than the sum of its proper divisors (11826660752).

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

10309422448 is a wasteful number, since it uses less digits than its factorization.

10309422448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 10309422448 in words is "ten billion, three hundred nine million, four hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 229 328 458 533 656 916 1066 1832 2132 2977 3664 4264 5279 5954 8528 9389 10558 11908 18778 21116 23816 37556 42232 47632 68627 75112 84464 122057 137254 150224 216439 244114 274508 432878 488228 549016 865756 976456 1098032 1208891 1731512 1952912 2417782 2813707 3463024 4835564 5627414 9671128 11254828 15715583 19342256 22509656 31431166 45019312 49564531 62862332 99129062 125724664 198258124 251449328 396516248 644338903 793032496 1288677806 2577355612 5154711224 10309422448