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1825341022032 = 2431121737618191
BaseRepresentation
bin11010100011111110110…
…011011001111101010000
320110111112011011110120020
4122203332303121331100
5214401244300201112
63514314452543440
7245606436454533
oct32437663317520
96414464143506
101825341022032
11644139469600
1225591b021b80
1310318a3102b8
14644c0166a1a
153273463e48c
hex1a8fecd9f50

1825341022032 has 480 divisors, whose sum is σ = 5729425293312. Its totient is φ = 498161664000.

The previous prime is 1825341021899. The next prime is 1825341022039. The reversal of 1825341022032 is 2302201435281.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1825341021984 and 1825341022002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825341022039) 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, 222843057 + ... + 222851247.

Almost surely, 21825341022032 is an apocalyptic number.

1825341022032 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 1825341022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864712646656).

1825341022032 is an abundant number, since it is smaller than the sum of its proper divisors (3904084271280).

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

1825341022032 is a wasteful number, since it uses less digits than its factorization.

1825341022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 1825341022032 in words is "one trillion, eight hundred twenty-five billion, three hundred forty-one million, twenty-two thousand, thirty-two".