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258037848340 = 22512901892417
BaseRepresentation
bin1111000001010001000…
…0010001100100010100
3220200001002201212011221
43300110100101210110
513211430142121330
6314312502340124
724433263343636
oct3602420214424
9820032655157
10258037848340
119a484702718
124201442a644
131b4433c437c
14c6bc12ca56
156aa37ddb7a
hex3c14411914

258037848340 has 12 divisors (see below), whose sum is σ = 541879481556. Its totient is φ = 103215139328.

The previous prime is 258037848293. The next prime is 258037848349. The reversal of 258037848340 is 43848730852.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97842588804 + 160195259536 = 312798^2 + 400244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258037848349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6450946189 + ... + 6450946228.

It is an arithmetic number, because the mean of its divisors is an integer number (45156623463).

Almost surely, 2258037848340 is an apocalyptic number.

258037848340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258037848340 is an abundant number, since it is smaller than the sum of its proper divisors (283841633216).

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

258037848340 is a wasteful number, since it uses less digits than its factorization.

258037848340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12901892426 (or 12901892424 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 258037848340 in words is "two hundred fifty-eight billion, thirty-seven million, eight hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 12901892417 25803784834 51607569668 64509462085 129018924170 258037848340