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9676950096 = 24311163229491
BaseRepresentation
bin10010000001100101…
…01000101001010000
3220222101212222222010
421000302220221100
5124304244400341
64240122342520
7461542501332
oct110062505120
926871788863
109676950096
114116427920
121a6095aa40
13bb2aabc98
1467b2ad452
153b9849716
hex240ca8a50

9676950096 has 160 divisors (see below), whose sum is σ = 27614661120. Its totient is φ = 2895782400.

The previous prime is 9676950091. The next prime is 9676950167. The reversal of 9676950096 is 6900596769.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9676950091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19708411 + ... + 19708901.

It is an arithmetic number, because the mean of its divisors is an integer number (172591632).

Almost surely, 29676950096 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 9676950096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807330560).

9676950096 is an abundant number, since it is smaller than the sum of its proper divisors (17937711024).

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

9676950096 is a wasteful number, since it uses less digits than its factorization.

9676950096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 57.

The square root of 9676950096 is about 98371.4902601358. The cubic root of 9676950096 is about 2130.9806218864.

The spelling of 9676950096 in words is "nine billion, six hundred seventy-six million, nine hundred fifty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 163 176 229 264 326 458 489 491 528 652 687 916 978 982 1304 1374 1473 1793 1832 1956 1964 2519 2608 2748 2946 3586 3664 3912 3928 5038 5379 5401 5496 5892 7172 7557 7824 7856 10076 10758 10802 10992 11784 14344 15114 16203 20152 21516 21604 23568 28688 30228 32406 37327 40304 43032 43208 60456 64812 74654 80033 86064 86416 111981 112439 120912 129624 149308 160066 223962 224878 240099 259248 298616 320132 337317 410597 447924 449756 480198 597232 640264 674634 821194 880363 895848 899512 960396 1231791 1236829 1280528 1349268 1642388 1760726 1791696 1799024 1920792 2463582 2473658 2641089 2698536 3284776 3521452 3710487 3841584 4927164 4947316 5282178 5397072 6569552 7042904 7420974 9854328 9894632 10564356 14085808 14841948 18327557 19708656 19789264 21128712 29683896 36655114 42257424 54982671 59367792 73310228 109965342 146620456 201603127 219930684 293240912 403206254 439861368 604809381 806412508 879722736 1209618762 1612825016 2419237524 3225650032 4838475048 9676950096