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415325030292 = 223244932567729
BaseRepresentation
bin1100000101100110100…
…11010000011110010100
31110201000201022120102100
412002303103100132110
523301041201432132
6514444144442100
742002066336424
oct6026323203624
91421021276370
10415325030292
11150158174497
12685ab619330
133021b60a0c3
141615d634484
15ac0c01337c
hex60b34d0794

415325030292 has 36 divisors (see below), whose sum is σ = 1050083454420. Its totient is φ = 138410810112.

The previous prime is 415325030291. The next prime is 415325030293. The reversal of 415325030292 is 292030523514.

415325030292 is a `hidden beast` number, since 4 + 1 + 532 + 5 + 0 + 30 + 2 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (415325030291) and next prime (415325030293).

It can be written as a sum of positive squares in 2 ways, for example, as 313382757636 + 101942272656 = 559806^2 + 319284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415325030291) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1122117 + ... + 1445612.

It is an arithmetic number, because the mean of its divisors is an integer number (29168984845).

Almost surely, 2415325030292 is an apocalyptic number.

It is an amenable number.

415325030292 is an abundant number, since it is smaller than the sum of its proper divisors (634758424128).

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

415325030292 is a wasteful number, since it uses less digits than its factorization.

415325030292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572232 (or 2572227 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 415325030292 in words is "four hundred fifteen billion, three hundred twenty-five million, thirty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 4493 8986 13479 17972 26958 40437 53916 80874 161748 2567729 5135458 7703187 10270916 15406374 23109561 30812748 46219122 92438244 11536806397 23073612794 34610419191 46147225588 69220838382 103831257573 138441676764 207662515146 415325030292