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9463687968 = 253761922751
BaseRepresentation
bin10001101000001010…
…00110101100100000
3220102112121011022210
420310011012230200
5123340201003333
64203023402120
7453343010010
oct106405065440
926375534283
109463687968
114017006929
121a01453340
13b7a860387
1465ac37c40
153a5c70a63
hex234146b20

9463687968 has 96 divisors (see below), whose sum is σ = 28438179840. Its totient is φ = 2699424000.

The previous prime is 9463687957. The next prime is 9463687973. The reversal of 9463687968 is 8697863649.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×94636879682 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9463687899 and 9463687908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404593 + ... + 427343.

It is an arithmetic number, because the mean of its divisors is an integer number (296231040).

Almost surely, 29463687968 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 9463687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219089920).

9463687968 is an abundant number, since it is smaller than the sum of its proper divisors (18974491872).

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

9463687968 is a wasteful number, since it uses less digits than its factorization.

9463687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23390 (or 23382 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 66.

The square root of 9463687968 is about 97281.4883109834. The cubic root of 9463687968 is about 2115.2099017627.

The spelling of 9463687968 in words is "nine billion, four hundred sixty-three million, six hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 619 672 1238 1857 2476 3714 4333 4952 7428 8666 9904 12999 14856 17332 19808 22751 25998 29712 34664 45502 51996 59424 68253 69328 91004 103992 136506 138656 159257 182008 207984 273012 318514 364016 415968 477771 546024 637028 728032 955542 1092048 1274056 1911084 2184096 2548112 3822168 5096224 7644336 14082869 15288672 28165738 42248607 56331476 84497214 98580083 112662952 168994428 197160166 225325904 295740249 337988856 394320332 450651808 591480498 675977712 788640664 1182960996 1351955424 1577281328 2365921992 3154562656 4731843984 9463687968