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2868214464 = 2632191371913
BaseRepresentation
bin1010101011110101…
…0111101011000000
321101220001101120100
42222331113223000
521333230330324
61152335442400
7131035264203
oct25275275300
97356041510
102868214464
111242039a85
12680686400
133692c212b
141d2cdd93a
1511bc114c9
hexaaf57ac0

2868214464 has 168 divisors, whose sum is σ = 8721638640. Its totient is φ = 898670592.

The previous prime is 2868214451. The next prime is 2868214469. The reversal of 2868214464 is 4644128682.

It is a super-2 number, since 2×28682144642 = 16453308422997614592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2868214469) 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 23 ways as a sum of consecutive naturals, for example, 1498372 + ... + 1500284.

Almost surely, 22868214464 is an apocalyptic number.

2868214464 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 2868214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360819320).

2868214464 is an abundant number, since it is smaller than the sum of its proper divisors (5853424176).

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

2868214464 is a wasteful number, since it uses less digits than its factorization.

2868214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2074 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2868214464 is about 53555.7136447644. The cubic root of 2868214464 is about 1420.8139326306.

The spelling of 2868214464 in words is "two billion, eight hundred sixty-eight million, two hundred fourteen thousand, four hundred sixty-four".