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1804253400625 = 5413241332
BaseRepresentation
bin11010010000010101111…
…000100000111000110001
320101111002112002022020011
4122100111320200320301
5214030102332310000
63500510152014521
7244232036601664
oct32202570407061
96344075068204
101804253400625
116361a800a515
12251814991441
131011a94ca100
146347d6456db
1531ded1852ba
hex1a415e20e31

1804253400625 has 45 divisors (see below), whose sum is σ = 2441957080629. Its totient is φ = 1332049368000.

The previous prime is 1804253400619. The next prime is 1804253400641. The reversal of 1804253400625 is 5260043524081.

The square root of 1804253400625 is 1343225.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 1498550567409 + 305702833216 = 1224153^2 + 552904^2 .

It is not a de Polignac number, because 1804253400625 - 237 = 1666814447153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 436546059 + ... + 436550191.

Almost surely, 21804253400625 is an apocalyptic number.

1804253400625 is the 1343225-th square number.

1804253400625 is the 671613-rd centered octagonal number.

It is an amenable number.

1804253400625 is a deficient number, since it is larger than the sum of its proper divisors (637703680004).

1804253400625 is an frugal number, since it uses more digits than its factorization.

1804253400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 1804253400625 in words is "one trillion, eight hundred four billion, two hundred fifty-three million, four hundred thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 625 845 1625 4133 4225 8125 20665 21125 53729 103325 105625 268645 516625 698477 1343225 2583125 3492385 6716125 17081689 17461925 33580625 85408445 87309625 222061957 427042225 436548125 1110309785 2135211125 2886805441 5551548925 10676055625 14434027205 27757744625 72170136025 138788723125 360850680125 1804253400625