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10694227977216 = 2103271923216493
BaseRepresentation
bin1001101110011111000110…
…1010001110010000000000
31101212100200010122111211200
42123213301222032100000
52400203234330232331
634424505511541200
72152426636652130
oct233476152162000
941770603574750
1010694227977216
11345343a993553
12124874338a800
135c75cc82b064
1428d863a0aac0
151382ac3e65e6
hex9b9f1a8e400

10694227977216 has 792 divisors, whose sum is σ = 38835803872320. Its totient is φ = 2768654794752.

The previous prime is 10694227977203. The next prime is 10694227977263. The reversal of 10694227977216 is 61277972249601.

10694227977216 is a `hidden beast` number, since 1 + 0 + 69 + 422 + 79 + 7 + 72 + 16 = 666.

It is a super-2 number, since 2×106942279772162 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 648401866 + ... + 648418358.

Almost surely, 210694227977216 is an apocalyptic number.

10694227977216 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 10694227977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417901936160).

10694227977216 is an abundant number, since it is smaller than the sum of its proper divisors (28141575895104).

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

10694227977216 is a wasteful number, since it uses less digits than its factorization.

10694227977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 10694227977216 in words is "ten trillion, six hundred ninety-four billion, two hundred twenty-seven million, nine hundred seventy-seven thousand, two hundred sixteen".