Search a number
-
+
123876470016 = 283513211783
BaseRepresentation
bin111001101011110011…
…1001110110100000000
3102211202011102200200000
41303113213032310000
54012144334020031
6132524050400000
711643526423155
oct1632747166400
9384664380600
10123876470016
1148599046452
1220011b90000
13b8b2347200
145dd210222c
1533504793e6
hex1cd79ced00

123876470016 has 324 divisors, whose sum is σ = 401112417888. Its totient is φ = 38112602112.

The previous prime is 123876469993. The next prime is 123876470051. The reversal of 123876470016 is 610074678321.

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10507261 + ... + 10519043.

Almost surely, 2123876470016 is an apocalyptic number.

123876470016 is a gapful number since it is divisible by the number (16) 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 123876470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200556208944).

123876470016 is an abundant number, since it is smaller than the sum of its proper divisors (277235947872).

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

123876470016 is an equidigital number, since it uses as much as digits as its factorization.

123876470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840 (or 11801 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 123876470016 in words is "one hundred twenty-three billion, eight hundred seventy-six million, four hundred seventy thousand, sixteen".