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537244566656 = 27717192412383
BaseRepresentation
bin1111101000101100100…
…01011000010010000000
31220100201111102201210012
413310112101120102000
532300234102113111
61050450131324052
753546264316650
oct7642621302200
91810644381705
10537244566656
111979316086a6
1288156150628
133b87b3a83b5
141c00788c360
15de9578548b
hex7d16458480

537244566656 has 384 divisors, whose sum is σ = 1400822760960. Its totient is φ = 200206909440.

The previous prime is 537244566641. The next prime is 537244566671. The reversal of 537244566656 is 656665442735.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (537244566641) and next prime (537244566671).

It is a junction number, because it is equal to n+sod(n) for n = 537244566595 and 537244566604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225447641 + ... + 225450023.

It is an arithmetic number, because the mean of its divisors is an integer number (3647975940).

Almost surely, 2537244566656 is an apocalyptic number.

537244566656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537244566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700411380480).

537244566656 is an abundant number, since it is smaller than the sum of its proper divisors (863578194304).

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

537244566656 is a wasteful number, since it uses less digits than its factorization.

537244566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2469 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 59.

The spelling of 537244566656 in words is "five hundred thirty-seven billion, two hundred forty-four million, five hundred sixty-six thousand, six hundred fifty-six".