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10694081604096 = 293511292271187
BaseRepresentation
bin1001101110011110100011…
…1011110110101000000000
31101212100021221012222200000
42123213220323312220000
52400202434342312341
634424443202400000
72152423211546262
oct233475073665000
941770257188600
1010694081604096
1134533752a9230
121248702360000
135c75a83cbc47
1428d84c3c7b32
1513829e6318b6
hex9b9e8ef6a00

10694081604096 has 960 divisors, whose sum is σ = 36310380986880. Its totient is φ = 3112476917760.

The previous prime is 10694081604053. The next prime is 10694081604139. The reversal of 10694081604096 is 69040618049601.

It is a happy number.

10694081604096 is a `hidden beast` number, since 1 + 0 + 69 + 40 + 81 + 60 + 409 + 6 = 666.

10694081604096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10694081604053) and next prime (10694081604139).

It is a super-2 number, since 2×106940816040962 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9009335215 + ... + 9009336401.

It is an arithmetic number, because the mean of its divisors is an integer number (37823313528).

Almost surely, 210694081604096 is an apocalyptic number.

10694081604096 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 10694081604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18155190493440).

10694081604096 is an abundant number, since it is smaller than the sum of its proper divisors (25616299382784).

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

10694081604096 is a wasteful number, since it uses less digits than its factorization.

10694081604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10694081604096 in words is "ten trillion, six hundred ninety-four billion, eighty-one million, six hundred four thousand, ninety-six".