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5376096000 = 283253111697
BaseRepresentation
bin1010000000111000…
…01011011100000000
3111212200001222021200
411000130023130000
542002240033000
62245244221200
7250140030162
oct50034133400
914780058250
105376096000
112309736550
12106053a800
13678a50ac2
14390002932
15216e97500
hex14070b700

5376096000 has 432 divisors, whose sum is σ = 21115811808. Its totient is φ = 1302528000.

The previous prime is 5376095993. The next prime is 5376096007. The reversal of 5376096000 is 6906735.

It is a happy number.

5376096000 is a `hidden beast` number, since 537 + 60 + 9 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5376095993) and next prime (5376096007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376096007) by changing a digit.

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, 3167152 + ... + 3168848.

It is an arithmetic number, because the mean of its divisors is an integer number (48879194).

Almost surely, 25376096000 is an apocalyptic number.

5376096000 is a gapful number since it is divisible by the number (50) 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 5376096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557905904).

5376096000 is an abundant number, since it is smaller than the sum of its proper divisors (15739715808).

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

5376096000 is a wasteful number, since it uses less digits than its factorization.

5376096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5376096000 is about 73321.8657700416. The cubic root of 5376096000 is about 1751.8180833196.

The spelling of 5376096000 in words is "five billion, three hundred seventy-six million, ninety-six thousand".