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14808127950 = 2325271117231093
BaseRepresentation
bin11011100101010001…
…00001100111001110
31102020000002211201100
431302220201213032
5220311340043300
610445221323530
71032650003460
oct156250414716
942200084640
1014808127950
116309890780
122a532665a6
13151cb794b5
14a0695a130
155ba063700
hex372a219ce

14808127950 has 576 divisors, whose sum is σ = 54852774912. Its totient is φ = 2767564800.

The previous prime is 14808127949. The next prime is 14808127979. The reversal of 14808127950 is 5972180841.

14808127950 is a `hidden beast` number, since 1 + 480 + 81 + 2 + 7 + 95 + 0 = 666.

14808127950 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 (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14808127896 and 14808127905.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 13547604 + ... + 13548696.

It is an arithmetic number, because the mean of its divisors is an integer number (95230512).

Almost surely, 214808127950 is an apocalyptic number.

14808127950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14808127950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426387456).

14808127950 is an abundant number, since it is smaller than the sum of its proper divisors (40044646962).

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

14808127950 is a wasteful number, since it uses less digits than its factorization.

14808127950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 14808127950 in words is "fourteen billion, eight hundred eight million, one hundred twenty-seven thousand, nine hundred fifty".