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7969434349696 = 27292146938133
BaseRepresentation
bin111001111111000011101…
…0011011011000010000000
31001012212111120201111010221
41303332013103123002000
52021032400143142241
624541035124032424
71451526004164151
oct163760723330200
931185446644127
107969434349696
1125a28aaa22816
12a88643532714
1345a68c29c251
141d7a1906d928
15dc4838565d1
hex73f874db080

7969434349696 has 32 divisors (see below), whose sum is σ = 16424076725100. Its totient is φ = 3847313132544.

The previous prime is 7969434349687. The next prime is 7969434349729. The reversal of 7969434349696 is 6969434349697.

It can be written as a sum of positive squares in 2 ways, for example, as 7969329000000 + 105349696 = 2823000^2 + 10264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×79694343496962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1073465355 + ... + 1073472778.

Almost surely, 27969434349696 is an apocalyptic number.

It is an amenable number.

7969434349696 is an abundant number, since it is smaller than the sum of its proper divisors (8454642375404).

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

7969434349696 is a wasteful number, since it uses less digits than its factorization.

7969434349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146938176 (or 2146938164 counting only the distinct ones).

The product of its digits is 5714053632, while the sum is 79.

Subtracting from 7969434349696 its reverse (6969434349697), we obtain a palindrome (999999999999).

The spelling of 7969434349696 in words is "seven trillion, nine hundred sixty-nine billion, four hundred thirty-four million, three hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 2146938133 4293876266 8587752532 17175505064 34351010128 62261205857 68702020256 124522411714 137404040512 249044823428 274808081024 498089646856 996179293712 1992358587424 3984717174848 7969434349696