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16379048952 = 23327193794513
BaseRepresentation
bin11110100000100010…
…00111001111111000
31120021111001220012200
433100101013033320
5232021014031302
611305135510200
71116613422210
oct172021071770
946244056180
1016379048952
116a456009a2
123211388360
131710470556
14b15441240
1565ce1b81c
hex3d04473f8

16379048952 has 192 divisors, whose sum is σ = 53517984000. Its totient is φ = 4420749312.

The previous prime is 16379048951. The next prime is 16379049023. The reversal of 16379048952 is 25984097361.

16379048952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16379048951) 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, 3627048 + ... + 3631560.

It is an arithmetic number, because the mean of its divisors is an integer number (278739500).

It is a 1-persistent number, because it is pandigital, but 2⋅16379048952 = 32758097904 is not.

Almost surely, 216379048952 is an apocalyptic number.

16379048952 is a gapful number since it is divisible by the number (12) 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 16379048952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26758992000).

16379048952 is an abundant number, since it is smaller than the sum of its proper divisors (37138935048).

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

16379048952 is a wasteful number, since it uses less digits than its factorization.

16379048952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 16379048952 in words is "sixteen billion, three hundred seventy-nine million, forty-eight thousand, nine hundred fifty-two".