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20069351424 = 2173353107
BaseRepresentation
bin10010101100001110…
…100000000000000000
31220210200000200112000
4102230032200000000
5312100223221144
613115243504000
71310223446433
oct225416400000
956720020460
1020069351424
118569697851
123a81228000
131b7ab7a195
14d855b981a
157c6db9769
hex4ac3a0000

20069351424 has 288 divisors, whose sum is σ = 61152719040. Its totient is φ = 6502219776.

The previous prime is 20069351413. The next prime is 20069351473. The reversal of 20069351424 is 42415396002.

It is a happy number.

20069351424 is a `hidden beast` number, since 200 + 69 + 351 + 42 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187563979 + ... + 187564085.

It is an arithmetic number, because the mean of its divisors is an integer number (212335830).

Almost surely, 220069351424 is an apocalyptic number.

20069351424 is a gapful number since it is divisible by the number (24) 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 20069351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576359520).

20069351424 is an abundant number, since it is smaller than the sum of its proper divisors (41083367616).

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

20069351424 is an frugal number, since it uses more digits than its factorization.

20069351424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20069351424 in words is "twenty billion, sixty-nine million, three hundred fifty-one thousand, four hundred twenty-four".