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30878371584 = 28351074639
BaseRepresentation
bin11100110000011111…
…101000111100000000
32221200222002210200000
4130300133220330000
51001214330342314
622104010400000
72142123553644
oct346037507400
987628083600
1030878371584
1112106043665
125b99130000
132bb13580b8
1416ccd74c24
15c0acd2209
hex7307e8f00

30878371584 has 216 divisors, whose sum is σ = 93210324480. Its totient is φ = 10194398208.

The previous prime is 30878371561. The next prime is 30878371609. The reversal of 30878371584 is 48517387803.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30878371584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6653937 + ... + 6658575.

It is an arithmetic number, because the mean of its divisors is an integer number (431529280).

Almost surely, 230878371584 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 30878371584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46605162240).

30878371584 is an abundant number, since it is smaller than the sum of its proper divisors (62331952896).

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

30878371584 is an equidigital number, since it uses as much as digits as its factorization.

30878371584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 30878371584 in words is "thirty billion, eight hundred seventy-eight million, three hundred seventy-one thousand, five hundred eighty-four".