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96014266923969 = 34149273072
BaseRepresentation
bin10101110101001100010000…
…010001011111101111000001
3110120221212121100100122210000
4111311030100101133233001
5100041044204313031334
6540112202330230213
726136542020034502
oct2565142021375701
9416855540318700
1096014266923969
1128658470656769
12a92825b885369
134176150046074
14199d1885ccba9
15b178410c1299
hex57531045fbc1

96014266923969 has 45 divisors (see below), whose sum is σ = 144417553319347. Its totient is φ = 63571216013136.

The previous prime is 96014266923947. The next prime is 96014266923979. The reversal of 96014266923969 is 96932966241069.

The square root of 96014266923969 is 9798687.

It is a perfect power (a square), and thus also a powerful number.

96014266923969 is a `hidden beast` number, since 9 + 6 + 0 + 142 + 6 + 6 + 92 + 396 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11248732411569 + 84765534512400 = 3353913^2 + 9206820^2 .

It is not a de Polignac number, because 96014266923969 - 215 = 96014266891201 is a prime.

It is a super-2 number, since 2×960142669239692 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96014266923897 and 96014266923906.

It is not an unprimeable number, because it can be changed into a prime (96014266923979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13140035614 + ... + 13140042920.

Almost surely, 296014266923969 is an apocalyptic number.

96014266923969 is the 9798687-th square number.

96014266923969 is the 4899344-th centered octagonal number.

It is an amenable number.

96014266923969 is a deficient number, since it is larger than the sum of its proper divisors (48403286395378).

96014266923969 is an frugal number, since it uses more digits than its factorization.

96014266923969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924 (or 7459 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 96014266923969 in words is "ninety-six trillion, fourteen billion, two hundred sixty-six million, nine hundred twenty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 149 447 1341 4023 7307 12069 21921 22201 65763 66603 197289 199809 591867 599427 1088743 1798281 3266229 9798687 29396061 53392249 88188183 160176747 162222707 480530241 486668121 1441590723 1460004363 4324772169 4380013089 7955445101 13140039267 23866335303 71599005909 214797017727 644391053181 1185361320049 3556083960147 10668251880441 32004755641323 96014266923969