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2087027712 = 2103271117173
BaseRepresentation
bin111110001100101…
…1000010000000000
312101110002222210200
41330121120100000
513233234341322
6543032125200
7102501304620
oct17431302000
95343088720
102087027712
119810888a0
124a2b36800
132734c8453
1415b270880
15c33538ac
hex7c658400

2087027712 has 528 divisors, whose sum is σ = 8001182592. Its totient is φ = 507248640.

The previous prime is 2087027699. The next prime is 2087027731. The reversal of 2087027712 is 2177207802.

It is a tau number, because it is divible by the number of its divisors (528).

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

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 47 ways as a sum of consecutive naturals, for example, 12063658 + ... + 12063830.

Almost surely, 22087027712 is an apocalyptic number.

2087027712 is a gapful number since it is divisible by the number (22) 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 2087027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000591296).

2087027712 is an abundant number, since it is smaller than the sum of its proper divisors (5914154880).

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

2087027712 is a wasteful number, since it uses less digits than its factorization.

2087027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 2087027712 is about 45683.9984239558. The cubic root of 2087027712 is about 1277.9368847727.

The spelling of 2087027712 in words is "two billion, eighty-seven million, twenty-seven thousand, seven hundred twelve".