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2086556472 = 233271113217131
BaseRepresentation
bin111110001011110…
…0101001100111000
312101102020001101100
41330113211030320
513233124301342
6543014051400
7102464303010
oct17427451470
95342201340
102086556472
11980896840
124a2949b60
13273391b00
1415b18ac40
15c32ade4c
hex7c5e5338

2086556472 has 576 divisors, whose sum is σ = 8139605760. Its totient is φ = 467251200.

The previous prime is 2086556471. The next prime is 2086556477. The reversal of 2086556472 is 2746556802.

2086556472 is a `hidden beast` number, since 2 + 0 + 86 + 5 + 564 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086556471) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 15927847 + ... + 15927977.

It is an arithmetic number, because the mean of its divisors is an integer number (14131260).

Almost surely, 22086556472 is an apocalyptic number.

2086556472 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 2086556472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069802880).

2086556472 is an abundant number, since it is smaller than the sum of its proper divisors (6053049288).

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

2086556472 is a wasteful number, since it uses less digits than its factorization.

2086556472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2086556472 is about 45678.8405281920. The cubic root of 2086556472 is about 1277.8406936991.

The spelling of 2086556472 in words is "two billion, eighty-six million, five hundred fifty-six thousand, four hundred seventy-two".