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2725130688 = 26372476163
BaseRepresentation
bin1010001001101110…
…0011000111000000
321000220210222112020
42202123203013000
521040113140223
61130225001440
7124350141300
oct24233430700
97026728466
102725130688
1111792a1025
12640783280
13345775287
141bbcd5600
1510e39b1e3
hexa26e31c0

2725130688 has 168 divisors, whose sum is σ = 8567269632. Its totient is φ = 761918976.

The previous prime is 2725130663. The next prime is 2725130699. The reversal of 2725130688 is 8860315272.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439095 + ... + 445257.

Almost surely, 22725130688 is an apocalyptic number.

2725130688 is a gapful number since it is divisible by the number (28) 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 2725130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283634816).

2725130688 is an abundant number, since it is smaller than the sum of its proper divisors (5842138944).

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

2725130688 is a wasteful number, since it uses less digits than its factorization.

2725130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2725130688 is about 52202.7842935604. The cubic root of 2725130688 is about 1396.7835493103.

The spelling of 2725130688 in words is "two billion, seven hundred twenty-five million, one hundred thirty thousand, six hundred eighty-eight".