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96677277669 = 32743101353341
BaseRepresentation
bin101101000001001101…
…0100010111111100101
3100020112121100120002200
41122002122202333211
53040443340341134
6112225105325113
76661516205250
oct1320232427745
9306477316080
1096677277669
1138000891695
12168a1036799
139169302b5b
144971a4c097
1527ac699499
hex16826a2fe5

96677277669 has 48 divisors (see below), whose sum is σ = 164923085184. Its totient is φ = 53425008000.

The previous prime is 96677277667. The next prime is 96677277701.

96677277669 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96677277669 - 21 = 96677277667 is a prime.

It is a super-2 number, since 2×966772776692 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96677277597 and 96677277606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96677277667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96939 + ... + 450279.

It is an arithmetic number, because the mean of its divisors is an integer number (3435897608).

Almost surely, 296677277669 is an apocalyptic number.

It is an amenable number.

96677277669 is a deficient number, since it is larger than the sum of its proper divisors (68245807515).

96677277669 is a wasteful number, since it uses less digits than its factorization.

96677277669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353498 (or 353495 counting only the distinct ones).

The product of its digits is 504094752, while the sum is 72.

The spelling of 96677277669 in words is "ninety-six billion, six hundred seventy-seven million, two hundred seventy-seven thousand, six hundred sixty-nine".

Divisors: 1 3 7 9 21 43 63 101 129 301 303 387 707 903 909 2121 2709 4343 6363 13029 30401 39087 91203 273609 353341 1060023 2473387 3180069 7420161 15193663 22260483 35687441 45580989 106355641 107062323 136742967 249812087 319066923 321186969 749436261 957200769 1534559963 2248308783 4603679889 10741919741 13811039667 32225759223 96677277669