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10796696064 = 2935731123
BaseRepresentation
bin10100000111000100…
…01000001000000000
31000212102212222200000
422003202020020000
5134102423233224
64543202400000
7531360255000
oct120342101000
930772788600
1010796696064
1146404a9610
122113960000
131030a8456b
14745cac000
15432cd10c9
hex283888200

10796696064 has 960 divisors, whose sum is σ = 42897254400. Its totient is φ = 2682408960.

The previous prime is 10796696051. The next prime is 10796696069. The reversal of 10796696064 is 46069669701.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10796696064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10796696069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469421557 + ... + 469421579.

It is an arithmetic number, because the mean of its divisors is an integer number (44684640).

Almost surely, 210796696064 is an apocalyptic number.

10796696064 is a gapful number since it is divisible by the number (14) 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 10796696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448627200).

10796696064 is an abundant number, since it is smaller than the sum of its proper divisors (32100558336).

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

10796696064 is an frugal number, since it uses more digits than its factorization.

10796696064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 10796696064 in words is "ten billion, seven hundred ninety-six million, six hundred ninety-six thousand, sixty-four".