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9660968448 = 29311355661
BaseRepresentation
bin10001111111101011…
…01010111000000000
3220221021211001021020
420333311222320000
5124241201442243
64234352025440
7461256606525
oct107765527000
926837731236
109660968448
11410840164a
121a57532280
13bac6a48a1
1467910d14c
153b823e283
hex23fd6ae00

9660968448 has 80 divisors (see below), whose sum is σ = 25965655056. Its totient is φ = 3191767040.

The previous prime is 9660968441. The next prime is 9660968459. The reversal of 9660968448 is 8448690669.

9660968448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×96609684482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9660968391 and 9660968400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9660968441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145738 + ... + 201398.

Almost surely, 29660968448 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 9660968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982827528).

9660968448 is an abundant number, since it is smaller than the sum of its proper divisors (16304686608).

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

9660968448 is a wasteful number, since it uses less digits than its factorization.

9660968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55795 (or 55779 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The square root of 9660968448 is about 98290.2255974621. The cubic root of 9660968448 is about 2129.8068585478.

The spelling of 9660968448 in words is "nine billion, six hundred sixty million, nine hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1356 1536 1808 2712 3616 5424 7232 10848 14464 21696 28928 43392 55661 57856 86784 111322 166983 173568 222644 333966 445288 667932 890576 1335864 1781152 2671728 3562304 5343456 6289693 7124608 10686912 12579386 14249216 18869079 21373824 25158772 28498432 37738158 42747648 50317544 75476316 85495296 100635088 150952632 201270176 301905264 402540352 603810528 805080704 1207621056 1610161408 2415242112 3220322816 4830484224 9660968448