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541706345375 = 53131073115493
BaseRepresentation
bin1111110001000000011…
…01101101101110011111
31220210020110001120112212
413320200031231232133
532333403311023000
61052504554551035
754064662651116
oct7704015555637
91823213046485
10541706345375
11199811123028
1288ba043847b
133c10c88bb50
141c30c288c7d
15e157323c35
hex7e2036db9f

541706345375 has 32 divisors (see below), whose sum is σ = 734857800768. Its totient is φ = 396290582400.

The previous prime is 541706345359. The next prime is 541706345393. The reversal of 541706345375 is 573543607145.

It is not a de Polignac number, because 541706345375 - 24 = 541706345359 is a prime.

It is a super-4 number, since 4×5417063453754 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383872 + ... + 1731621.

It is an arithmetic number, because the mean of its divisors is an integer number (22964306274).

Almost surely, 2541706345375 is an apocalyptic number.

541706345375 is a deficient number, since it is larger than the sum of its proper divisors (193151455393).

541706345375 is a wasteful number, since it uses less digits than its factorization.

541706345375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115628 (or 3115618 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 50.

The spelling of 541706345375 in words is "five hundred forty-one billion, seven hundred six million, three hundred forty-five thousand, three hundred seventy-five".

Divisors: 1 5 13 25 65 107 125 325 535 1391 1625 2675 6955 13375 34775 173875 3115493 15577465 40501409 77887325 202507045 333357751 389436625 1012535225 1666788755 4333650763 5062676125 8333943775 21668253815 41669718875 108341269075 541706345375