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9716981634361 = 1937731992713511
BaseRepresentation
bin1000110101100110100100…
…1111010001010100111001
31021101221020011020122002001
42031121221033101110321
52233200334244244421
632355530355141001
72022012602052001
oct215315117212471
937357204218061
109716981634361
113106a488a1a91
12110b2715a4761
135563cc58c791
14258439489001
1511cb6352e691
hex8d6693d1539

9716981634361 has 64 divisors (see below), whose sum is σ = 10744809472000. Its totient is φ = 8754746457600.

The previous prime is 9716981634343. The next prime is 9716981634431. The reversal of 9716981634361 is 1634361896179.

9716981634361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 5-Lehmer number, since φ(9716981634361) divides (9716981634361-1)5.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 9716981634361 - 27 = 9716981634233 is a prime.

It is a deceptive number, since it divides R9716981634360.

It is a junction number, because it is equal to n+sod(n) for n = 9716981634293 and 9716981634302.

It is not an unprimeable number, because it can be changed into a prime (9716981634301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2767580596 + ... + 2767584106.

It is an arithmetic number, because the mean of its divisors is an integer number (167887648000).

It is a Poulet number, since it divides 29716981634360-1.

Almost surely, 29716981634361 is an apocalyptic number.

9716981634361 is the 1799721-st hex number.

It is an amenable number.

9716981634361 is a deficient number, since it is larger than the sum of its proper divisors (1027827837639).

9716981634361 is a wasteful number, since it uses less digits than its factorization.

9716981634361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110.

The product of its digits is 35271936, while the sum is 64.

The spelling of 9716981634361 in words is "nine trillion, seven hundred sixteen billion, nine hundred eighty-one million, six hundred thirty-four thousand, three hundred sixty-one".

Divisors: 1 19 37 73 199 271 703 1387 2701 3511 3781 5149 7363 10027 14527 19783 51319 53929 66709 129907 139897 190513 256303 276013 375877 537499 698689 731971 951481 1024651 1995373 2468233 3936817 4869757 9483211 10212481 13275091 13907449 18078139 25851493 35204797 37912087 51004297 69458113 74799523 145662229 180181009 189344719 491178367 668891143 969081643 1319704147 1887158989 2569950181 2767582351 3597549661 7005754603 13822164487 35856020791 48829053439 133109337457 262621125253 511420086019 9716981634361