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2025189253824 = 2631119238326437
BaseRepresentation
bin11101011110000110101…
…011111010001011000000
321011121100220212112012220
4131132012223322023000
5231140041422110244
64150205322051040
7266213035425612
oct35360653721300
97147326775186
102025189253824
117109725a0030
122885b3949a80
13118c890617a9
147003c01cdb2
1537a2e5d5319
hex1d786afa2c0

2025189253824 has 448 divisors, whose sum is σ = 6498215055360. Its totient is φ = 549395066880.

The previous prime is 2025189253823. The next prime is 2025189253837. The reversal of 2025189253824 is 4283529815202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2025189253823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76591134 + ... + 76617570.

It is an arithmetic number, because the mean of its divisors is an integer number (14504944320).

Almost surely, 22025189253824 is an apocalyptic number.

2025189253824 is a gapful number since it is divisible by the number (24) 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 2025189253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249107527680).

2025189253824 is an abundant number, since it is smaller than the sum of its proper divisors (4473025801536).

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

2025189253824 is a wasteful number, since it uses less digits than its factorization.

2025189253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26588 (or 26578 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 2025189253824 in words is "two trillion, twenty-five billion, one hundred eighty-nine million, two hundred fifty-three thousand, eight hundred twenty-four".