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2087669376 = 2736131721
BaseRepresentation
bin111110001101111…
…0100111010000000
312101111022121000000
41330123310322000
513233420410001
6543054000000
7102506616432
oct17433647200
95344277000
102087669376
119814869a1
124a31a6000
13273691530
1415b39a652
15c342da86
hex7c6f4e80

2087669376 has 224 divisors, whose sum is σ = 6719261220. Its totient is φ = 641986560.

The previous prime is 2087669357. The next prime is 2087669383. The reversal of 2087669376 is 6739667802.

2087669376 is a `hidden beast` number, since 208 + 7 + 6 + 69 + 376 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2077171776 + 10497600 = 45576^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212196 + ... + 1213916.

Almost surely, 22087669376 is an apocalyptic number.

2087669376 is a gapful number since it is divisible by the number (26) 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 2087669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359630610).

2087669376 is an abundant number, since it is smaller than the sum of its proper divisors (4631591844).

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

2087669376 is an equidigital number, since it uses as much as digits as its factorization.

2087669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 2087669376 is about 45691.0207371208. The cubic root of 2087669376 is about 1278.0678400806.

The spelling of 2087669376 in words is "two billion, eighty-seven million, six hundred sixty-nine thousand, three hundred seventy-six".