Search a number
-
+
1201851048384 = 2637721923401
BaseRepresentation
bin10001011111010011111…
…001111010000111000000
311020220012001210010000000
4101133103321322013000
5124142342332022014
62320042303000000
7152554663232400
oct21372371720700
94226161703000
101201851048384
1142377a648148
12174b15599000
1389445c3c3cc
14422542cc800
15213e2479509
hex117d3e7a1c0

1201851048384 has 1344 divisors, whose sum is σ = 4581626803200. Its totient is φ = 310393036800.

The previous prime is 1201851048319. The next prime is 1201851048389. The reversal of 1201851048384 is 4838401581021.

1201851048384 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 85 + 10 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×12018510483842 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201851048389) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2997134584 + ... + 2997134984.

Almost surely, 21201851048384 is an apocalyptic number.

1201851048384 is a gapful number since it is divisible by the number (14) 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 1201851048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290813401600).

1201851048384 is an abundant number, since it is smaller than the sum of its proper divisors (3379775754816).

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

1201851048384 is an equidigital number, since it uses as much as digits as its factorization.

1201851048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1201851048384 in words is "one trillion, two hundred one billion, eight hundred fifty-one million, forty-eight thousand, three hundred eighty-four".