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30681645696 = 273313173139
BaseRepresentation
bin11100100100110001…
…001100001010000000
32221012020221002111000
4130210301030022000
51000314000130241
622032302052000
72134214454042
oct344461141200
987166832430
1030681645696
1112014a97589
125b4327a000
132b7c679150
1416b0ba5a92
15be88c2eb6
hex724c4c280

30681645696 has 512 divisors, whose sum is σ = 104358240000. Its totient is φ = 8821260288.

The previous prime is 30681645691. The next prime is 30681645697. The reversal of 30681645696 is 69654618603.

30681645696 is a `hidden beast` number, since 3 + 0 + 68 + 16 + 4 + 569 + 6 = 666.

It is a super-3 number, since 3×306816456963 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30681645691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220731195 + ... + 220731333.

Almost surely, 230681645696 is an apocalyptic number.

30681645696 is a gapful number since it is divisible by the number (36) 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 30681645696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52179120000).

30681645696 is an abundant number, since it is smaller than the sum of its proper divisors (73676594304).

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

30681645696 is a wasteful number, since it uses less digits than its factorization.

30681645696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 30681645696 in words is "thirty billion, six hundred eighty-one million, six hundred forty-five thousand, six hundred ninety-six".