Search a number
-
+
1050385485312 = 29322331210313
BaseRepresentation
bin11110100100011111101…
…10101000111000000000
310201102020011121021112200
433102033312220320000
5114202142141012222
62122312422153200
7135613350211452
oct17221766507000
93642204537480
101050385485312
1137551424a849
1214b6a3b82800
1378087b67387
1438ba60402d2
151c4c9da3eac
hexf48fda8e00

1050385485312 has 360 divisors, whose sum is σ = 3268937395152. Its totient is φ = 324070686720.

The previous prime is 1050385485293. The next prime is 1050385485371. The reversal of 1050385485312 is 2135845830501.

1050385485312 is a `hidden beast` number, since 1 + 0 + 50 + 3 + 8 + 548 + 53 + 1 + 2 = 666.

It is a super-2 number, since 2×10503854853122 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 101845468 + ... + 101855780.

Almost surely, 21050385485312 is an apocalyptic number.

1050385485312 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 1050385485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634468697576).

1050385485312 is an abundant number, since it is smaller than the sum of its proper divisors (2218551909840).

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

1050385485312 is a wasteful number, since it uses less digits than its factorization.

1050385485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1050385485312 in words is "one trillion, fifty billion, three hundred eighty-five million, four hundred eighty-five thousand, three hundred twelve".