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10694070000 = 243254313833
BaseRepresentation
bin10011111010110101…
…01000111011110000
31000121021210001011200
421331122220323300
5133400140220000
64525055011200
7526003044435
oct117532507360
930537701150
1010694070000
114598584089
1220a5509b00
131015731693
147363d5b8c
15428cad500
hex27d6a8ef0

10694070000 has 300 divisors, whose sum is σ = 38615189184. Its totient is φ = 2759040000.

The previous prime is 10694069989. The next prime is 10694070007. The reversal of 10694070000 is 7049601.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×106940700002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10694070007) 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 59 ways as a sum of consecutive naturals, for example, 2788084 + ... + 2791916.

Almost surely, 210694070000 is an apocalyptic number.

10694070000 is a gapful number since it is divisible by the number (10) 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 10694070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307594592).

10694070000 is an abundant number, since it is smaller than the sum of its proper divisors (27921119184).

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

10694070000 is a wasteful number, since it uses less digits than its factorization.

10694070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10694070000 in words is "ten billion, six hundred ninety-four million, seventy thousand".