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96466988966469 = 31181111173226939
BaseRepresentation
bin10101111011110001111000…
…100111000010001001000101
3110122120011011022202021201120
4111323301320213002021011
5100121003343133411334
6541100153430544153
726214336625641312
oct2573617047021105
9418504138667646
1096466988966469
1128812469422a10
12a99bb47508059
1341a9a4b357854
1419b7054811d09
15b244db2ea949
hex57bc789c2245

96466988966469 has 32 divisors (see below), whose sum is σ = 140614452625920. Its totient is φ = 58340457489600.

The previous prime is 96466988966443. The next prime is 96466988966479.

It is a happy number.

96466988966469 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-96466988966469 is a prime.

It is a super-2 number, since 2×964669889664692 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96466988966479) 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 31 ways as a sum of consecutive naturals, for example, 28280802 + ... + 31507740.

It is an arithmetic number, because the mean of its divisors is an integer number (4394201644560).

Almost surely, 296466988966469 is an apocalyptic number.

It is an amenable number.

96466988966469 is a deficient number, since it is larger than the sum of its proper divisors (44147463659451).

96466988966469 is a wasteful number, since it uses less digits than its factorization.

96466988966469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228881.

The product of its digits is 313456656384, while the sum is 96.

The spelling of 96466988966469 in words is "ninety-six trillion, four hundred sixty-six billion, nine hundred eighty-eight million, nine hundred sixty-six thousand, four hundred sixty-nine".

Divisors: 1 3 11 33 811 1117 2433 3351 8921 12287 26763 36861 905887 2717661 3226939 9680817 9964757 29894271 35496329 106488987 2617047529 3604490863 7851142587 10813472589 28787522819 39649399493 86362568457 118948198479 2923242089893 8769726269679 32155662988823 96466988966469