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54596528281 = 4141392
BaseRepresentation
bin110010110110001101…
…001110100010011001
312012220221000000001001
4302312031032202121
51343303202401111
641025321025001
73641644555561
oct626615164231
9165827000031
1054596528281
1121177353859
12a6b8325161
1351c1142a49
1428dcda5da1
15164819e1c1
hexcb634e899

54596528281 has 15 divisors (see below), whose sum is σ = 56366937705. Its totient is φ = 52881704880.

The previous prime is 54596528249. The next prime is 54596528293. The reversal of 54596528281 is 18282569545.

The square root of 54596528281 is 233659.

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

54596528281 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 44580521881 + 10016006400 = 211141^2 + 100080^2 .

It is not a de Polignac number, because 54596528281 - 25 = 54596528249 is a prime.

It is a super-2 number, since 2×545965282812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (6912000) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (54596528081) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 392780710 + ... + 392780848.

It is an arithmetic number, because the mean of its divisors is an integer number (3757795847).

Almost surely, 254596528281 is an apocalyptic number.

54596528281 is the 233659-th square number.

54596528281 is the 116830-th centered octagonal number.

It is an amenable number.

54596528281 is a deficient number, since it is larger than the sum of its proper divisors (1770409424).

54596528281 is an frugal number, since it uses more digits than its factorization.

54596528281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 180 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 55.

The spelling of 54596528281 in words is "fifty-four billion, five hundred ninety-six million, five hundred twenty-eight thousand, two hundred eighty-one".

Divisors: 1 41 139 1681 5699 19321 68921 233659 792161 2825761 9580019 32478601 392780779 1331622641 54596528281