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300713206872 = 2331321933711579
BaseRepresentation
bin1000110000000111110…
…01110110010001011000
31001202012012221200122110
410120003321312101120
514411330040104442
6350051251352320
730503645040561
oct4300371662130
91052165850573
10300713206872
11106593847171
124a3442b26a0
1322484813400
14107a9b57168
157c500de69c
hex4603e76458

300713206872 has 192 divisors, whose sum is σ = 859523184000. Its totient is φ = 87389632512.

The previous prime is 300713206867. The next prime is 300713206877. The reversal of 300713206872 is 278602317003.

It is an interprime number because it is at equal distance from previous prime (300713206867) and next prime (300713206877).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 300713206872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300713206877) 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 47 ways as a sum of consecutive naturals, for example, 25964779 + ... + 25976357.

It is an arithmetic number, because the mean of its divisors is an integer number (4476683250).

Almost surely, 2300713206872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300713206872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429761592000).

300713206872 is an abundant number, since it is smaller than the sum of its proper divisors (558809977128).

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

300713206872 is a wasteful number, since it uses less digits than its factorization.

300713206872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11970 (or 11953 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 300713206872 in words is "three hundred billion, seven hundred thirteen million, two hundred six thousand, eight hundred seventy-two".