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109436865696 = 2535172928547
BaseRepresentation
bin110010111101011110…
…0100000110010100000
3101110110211202210100000
41211322330200302200
53243111314200241
6122135151500000
710622643003324
oct1457274406240
9343424683300
10109436865696
1142459291a64
1219262227600
13a42093b342
1454224b5984
152ca795ceb6
hex197af20ca0

109436865696 has 288 divisors, whose sum is σ = 353517877440. Its totient is φ = 33148071936.

The previous prime is 109436865677. The next prime is 109436865701. The reversal of 109436865696 is 696568634901.

109436865696 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 3 + 68 + 6 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3819295 + ... + 3847841.

It is an arithmetic number, because the mean of its divisors is an integer number (1227492630).

Almost surely, 2109436865696 is an apocalyptic number.

109436865696 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 109436865696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176758938720).

109436865696 is an abundant number, since it is smaller than the sum of its proper divisors (244081011744).

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

109436865696 is a wasteful number, since it uses less digits than its factorization.

109436865696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28618 (or 28598 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 109436865696 in words is "one hundred nine billion, four hundred thirty-six million, eight hundred sixty-five thousand, six hundred ninety-six".