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107360309661696 = 2123371353201281
BaseRepresentation
bin11000011010010011000101…
…000111101101000000000000
3112002010112201120110210011000
4120122103011013231000000
5103032442403233133241
61020200351222452000
731420345362042450
oct3032230507550000
9462115646423130
10107360309661696
1131232284a21233
121005b192594000
1347ba05922ba10
141c723a3c09d60
15c62a4c19beb6
hex61a4c51ed000

107360309661696 has 832 divisors, whose sum is σ = 398853712535040. Its totient is φ = 27780427284480.

The previous prime is 107360309661667. The next prime is 107360309661721. The reversal of 107360309661696 is 696166903063701.

107360309661696 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 0 + 3 + 0 + 9 + 6 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533284576 + ... + 533485856.

Almost surely, 2107360309661696 is an apocalyptic number.

107360309661696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107360309661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199426856267520).

107360309661696 is an abundant number, since it is smaller than the sum of its proper divisors (291493402873344).

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

107360309661696 is a wasteful number, since it uses less digits than its factorization.

107360309661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201387 (or 201359 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 107360309661696 in words is "one hundred seven trillion, three hundred sixty billion, three hundred nine million, six hundred sixty-one thousand, six hundred ninety-six".