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55827421650625 = 543143112
BaseRepresentation
bin11001011000110010101011…
…01000101101111011000001
321022200001100000002022111111
430230121111220231323001
524304134024420310000
6314422432523243321
714521253360235502
oct1454312550557301
9238601300068444
1055827421650625
1116874305116319
12631788a679541
13251c6708c6581
14db00c1156ba9
1566c2ecc46cba
hex32c655a2dec1

55827421650625 has 75 divisors (see below), whose sum is σ = 72319879187765. Its totient is φ = 43082254650000.

The previous prime is 55827421650613. The next prime is 55827421650661. The reversal of 55827421650625 is 52605612472855.

The square root of 55827421650625 is 7471775.

It is a perfect power (a square), and thus also a powerful number.

55827421650625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4376869857409 + 51450551793216 = 2092097^2 + 7172904^2 .

It is not a de Polignac number, because 55827421650625 - 211 = 55827421648577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55827421650625.

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 74 ways as a sum of consecutive naturals, for example, 179509394220 + ... + 179509394530.

Almost surely, 255827421650625 is an apocalyptic number.

55827421650625 is the 7471775-th square number.

55827421650625 is the 3735888-th centered octagonal number.

It is an amenable number.

55827421650625 is a deficient number, since it is larger than the sum of its proper divisors (16492457537140).

55827421650625 is an frugal number, since it uses more digits than its factorization.

55827421650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 58.

The spelling of 55827421650625 in words is "fifty-five trillion, eight hundred twenty-seven billion, four hundred twenty-one million, six hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 31 125 155 311 625 775 961 1555 3875 4805 7775 9641 19375 24025 29791 38875 48205 96721 120125 148955 194375 241025 298871 483605 600625 744775 923521 1205125 1494355 2418025 2998351 3723875 4617605 6025625 7471775 9265001 12090125 14991755 18619375 23088025 37358875 46325005 60450625 74958775 92948881 115440125 186794375 231625025 287215031 374793875 464744405 577200625 1158125125 1436075155 1873969375 2323722025 2881415311 5790625625 7180375775 11618610125 14407076555 35901878875 58093050625 72035382775 89323874641 179509394375 360176913875 446619373205 1800884569375 2233096866025 11165484330125 55827421650625