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3678621696 = 21233293137
BaseRepresentation
bin1101101101000011…
…0101000000000000
3100111100222100022000
43123100311000000
530013211343241
61405005344000
7160105524411
oct33320650000
910440870260
103678621696
111618538a22
12867b68000
1346817a039
1426c7b7808
15167e41eb6
hexdb435000

3678621696 has 416 divisors, whose sum is σ = 11952307200. Its totient is φ = 1114767360.

The previous prime is 3678621691. The next prime is 3678621701. The reversal of 3678621696 is 6961268763.

3678621696 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 621 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3678621691) and next prime (3678621701).

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 (3678621691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99422190 + ... + 99422226.

Almost surely, 23678621696 is an apocalyptic number.

3678621696 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 3678621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976153600).

3678621696 is an abundant number, since it is smaller than the sum of its proper divisors (8273685504).

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

3678621696 is a wasteful number, since it uses less digits than its factorization.

3678621696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3678621696 is about 60651.6421541907. The cubic root of 3678621696 is about 1543.6957529147.

The spelling of 3678621696 in words is "three billion, six hundred seventy-eight million, six hundred twenty-one thousand, six hundred ninety-six".