Search a number
-
+
1850828139072 = 263511291931933
BaseRepresentation
bin11010111011101101111…
…101000010101001000000
320112221022101200011100000
4122323231331002221000
5220310444000422242
63534131514200000
7250501150415313
oct32735575025100
96487271604300
101850828139072
11653a282628a0
1225a852723000
131056bc73aa43
146581b0b097a
1533226e82a4c
hex1aeedf42a40

1850828139072 has 672 divisors, whose sum is σ = 6244041847680. Its totient is φ = 538432634880.

The previous prime is 1850828139059. The next prime is 1850828139077. The reversal of 1850828139072 is 2709318280581.

1850828139072 is a `hidden beast` number, since 18 + 508 + 28 + 1 + 39 + 0 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1850828139077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 957489018 + ... + 957490950.

It is an arithmetic number, because the mean of its divisors is an integer number (9291728940).

Almost surely, 21850828139072 is an apocalyptic number.

1850828139072 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 1850828139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122020923840).

1850828139072 is an abundant number, since it is smaller than the sum of its proper divisors (4393213708608).

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

1850828139072 is a wasteful number, since it uses less digits than its factorization.

1850828139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1850828139072 in words is "one trillion, eight hundred fifty billion, eight hundred twenty-eight million, one hundred thirty-nine thousand, seventy-two".