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103699005696 = 28321121323171
BaseRepresentation
bin110000010010011110…
…0010100000100000000
3100220122221222022010200
41200210330110010000
53144333421140241
6115345541325200
710330521001446
oct1404474240400
9326587868120
10103699005696
113aa84426900
1218120706800
139a17c75900
14503a422b96
152a6dd564b6
hex1824f14100

103699005696 has 972 divisors, whose sum is σ = 372519883008. Its totient is φ = 27675648000.

The previous prime is 103699005691. The next prime is 103699005743. The reversal of 103699005696 is 696500996301.

It is a happy number.

103699005696 is a `hidden beast` number, since 10 + 3 + 69 + 9 + 0 + 0 + 569 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103699005691) 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 107 ways as a sum of consecutive naturals, for example, 1460549341 + ... + 1460549411.

Almost surely, 2103699005696 is an apocalyptic number.

103699005696 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 103699005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186259941504).

103699005696 is an abundant number, since it is smaller than the sum of its proper divisors (268820877312).

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

103699005696 is a wasteful number, since it uses less digits than its factorization.

103699005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 103699005696 in words is "one hundred three billion, six hundred ninety-nine million, five thousand, six hundred ninety-six".