Search a number
-
+
1825135388472 = 23311193171165317
BaseRepresentation
bin11010100011110010100…
…010111110011100111000
320110110222211020012100110
4122203302202332130320
5214400334124412342
63514242225304320
7245601361555014
oct32436242763470
96413884205313
101825135388472
11644043389010
122558821950a0
13103156832a36
14644a0b19544
1532721570c9c
hex1a8f28be738

1825135388472 has 256 divisors, whose sum is σ = 5484854476800. Its totient is φ = 499915584000.

The previous prime is 1825135388467. The next prime is 1825135388507. The reversal of 1825135388472 is 2748835315281.

It is a super-2 number, since 2×18251353884722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10957558 + ... + 11122874.

It is an arithmetic number, because the mean of its divisors is an integer number (21425212800).

Almost surely, 21825135388472 is an apocalyptic number.

1825135388472 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 1825135388472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742427238400).

1825135388472 is an abundant number, since it is smaller than the sum of its proper divisors (3659719088328).

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

1825135388472 is a wasteful number, since it uses less digits than its factorization.

1825135388472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165458 (or 165454 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 57.

The spelling of 1825135388472 in words is "one trillion, eight hundred twenty-five billion, one hundred thirty-five million, three hundred eighty-eight thousand, four hundred seventy-two".