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20144195876 = 2272965337991
BaseRepresentation
bin10010110000101100…
…000000100100100100
31220222212212011210202
4102300230000210210
5312223403232001
613130520010032
71312122561020
oct226054004444
956885764722
1020144195876
1185a7967572
123aa2300918
131b90523a3c
14d914dd380
157cd75096b
hex4b0b00924

20144195876 has 48 divisors (see below), whose sum is σ = 41742570240. Its totient is φ = 8322545280.

The previous prime is 20144195857. The next prime is 20144195881. The reversal of 20144195876 is 67859144102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20144195876.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 511241 + ... + 549231.

It is an arithmetic number, because the mean of its divisors is an integer number (869636880).

Almost surely, 220144195876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144195876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871285120).

20144195876 is an abundant number, since it is smaller than the sum of its proper divisors (21598374364).

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

20144195876 is a wasteful number, since it uses less digits than its factorization.

20144195876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38684 (or 38682 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 20144195876 in words is "twenty billion, one hundred forty-four million, one hundred ninety-five thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 653 812 1306 2612 4571 9142 18284 18937 37874 37991 75748 75982 132559 151964 265118 265937 530236 531874 1063748 1101739 2203478 4406956 7712173 15424346 24808123 30848692 49616246 99232492 173656861 347313722 694627444 719435567 1438871134 2877742268 5036048969 10072097938 20144195876