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2687628384 = 25337231392
BaseRepresentation
bin1010000000110001…
…1111010001100000
320221022020200001000
42200030133101200
521001013102014
61122405112000
7123413315160
oct24014372140
96838220030
102687628384
11115a106a91
126300b8600
1333aa7456c
141b6d325a0
1510ae3e509
hexa031f460

2687628384 has 288 divisors, whose sum is σ = 9416010240. Its totient is φ = 729222912.

The previous prime is 2687628347. The next prime is 2687628457. The reversal of 2687628384 is 4838267862.

2687628384 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 628 + 3 + 8 + 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 (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2687628384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19335387 + ... + 19335525.

It is an arithmetic number, because the mean of its divisors is an integer number (32694480).

Almost surely, 22687628384 is an apocalyptic number.

2687628384 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 2687628384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708005120).

2687628384 is an abundant number, since it is smaller than the sum of its proper divisors (6728381856).

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

2687628384 is a wasteful number, since it uses less digits than its factorization.

2687628384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 174 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 2687628384 is about 51842.3416137813. The cubic root of 2687628384 is about 1390.3465802438.

The spelling of 2687628384 in words is "two billion, six hundred eighty-seven million, six hundred twenty-eight thousand, three hundred eighty-four".