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9680934456 = 2333973671259
BaseRepresentation
bin10010000010000011…
…10101011000111000
3220222200101102111000
421001001311120320
5124311304400311
64240344005000
7461621404464
oct110101653070
926880342430
109680934456
1141186a9386
121a62160760
13bb38756ab
1467ba294a4
153b9d85056
hex241075638

9680934456 has 128 divisors (see below), whose sum is σ = 27264384000. Its totient is φ = 3182478336.

The previous prime is 9680934451. The next prime is 9680934491. The reversal of 9680934456 is 6544390869.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9680934451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7688755 + ... + 7690013.

It is an arithmetic number, because the mean of its divisors is an integer number (213003000).

Almost surely, 29680934456 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 9680934456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632192000).

9680934456 is an abundant number, since it is smaller than the sum of its proper divisors (17583449544).

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

9680934456 is a wasteful number, since it uses less digits than its factorization.

9680934456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 9680934456 is about 98391.7397752474. The cubic root of 9680934456 is about 2131.2730497291.

The spelling of 9680934456 in words is "nine billion, six hundred eighty million, nine hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 367 388 582 734 776 873 1101 1164 1259 1468 1746 2202 2328 2518 2619 2936 3303 3492 3777 4404 5036 5238 6606 6984 7554 8808 9909 10072 10476 11331 13212 15108 19818 20952 22662 26424 30216 33993 35599 39636 45324 67986 71198 79272 90648 106797 122123 135972 142396 213594 244246 271944 284792 320391 366369 427188 462053 488492 640782 732738 854376 924106 961173 976984 1099107 1281564 1386159 1465476 1848212 1922346 2198214 2563128 2772318 2930952 3297321 3696424 3844692 4158477 4396428 5544636 6594642 7689384 8316954 8792856 11089272 12475431 13189284 16633908 24950862 26378568 33267816 44819141 49901724 89638282 99803448 134457423 179276564 268914846 358553128 403372269 537829692 806744538 1075659384 1210116807 1613489076 2420233614 3226978152 4840467228 9680934456