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540256644625 = 53171571619353
BaseRepresentation
bin1111101110010011100…
…11100010111000010001
31220122111102012010222111
413313021303202320101
532322421200112000
61052105050505321
754014030465245
oct7671163427021
91818442163874
10540256644625
11199137878435
1288856a35241
133bc3b42b259
141c21191a425
15e0bee12cba
hex7dc9ce2e11

540256644625 has 32 divisors (see below), whose sum is σ = 718449073056. Its totient is φ = 404190259200.

The previous prime is 540256644583. The next prime is 540256644637. The reversal of 540256644625 is 526446652045.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 169006498816 + 371250145809 = 411104^2 + 609303^2 .

It is not a de Polignac number, because 540256644625 - 217 = 540256513553 is a prime.

It is a super-2 number, since 2×5402566446252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476052 + ... + 1143301.

It is an arithmetic number, because the mean of its divisors is an integer number (22451533533).

Almost surely, 2540256644625 is an apocalyptic number.

It is an amenable number.

540256644625 is a deficient number, since it is larger than the sum of its proper divisors (178192428431).

540256644625 is a wasteful number, since it uses less digits than its factorization.

540256644625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619542 (or 1619532 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 49.

The spelling of 540256644625 in words is "five hundred forty billion, two hundred fifty-six million, six hundred forty-four thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 157 425 785 2125 2669 3925 13345 19625 66725 333625 1619353 8096765 27529001 40483825 137645005 202419125 254238421 688225025 1271192105 3441125125 4322053157 6355960525 21610265785 31779802625 108051328925 540256644625