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54248931396 = 223211235292
BaseRepresentation
bin110010100001011111…
…010000000001000100
312012000200221020202100
4302201133100001010
51342100211301041
640531022512100
73630224210562
oct624137200104
9165020836670
1054248931396
1121009120100
12a61ba35630
13516711b60a
1428a8b62a32
1516278dc6b6
hexca17d0044

54248931396 has 81 divisors (see below), whose sum is σ = 150771561213. Its totient is φ = 16434411840.

The previous prime is 54248931383. The next prime is 54248931409. The reversal of 54248931396 is 69313984245.

The square root of 54248931396 is 232914.

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

54248931396 is a `hidden beast` number, since 5 + 4 + 248 + 9 + 3 + 1 + 396 = 666.

It is an interprime number because it is at equal distance from previous prime (54248931383) and next prime (54248931409).

It can be written as a sum of positive squares in only one way, i.e., 5071433796 + 49177497600 = 71214^2 + 221760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15370560 + ... + 15374088.

Almost surely, 254248931396 is an apocalyptic number.

54248931396 is the 232914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54248931396

54248931396 is an abundant number, since it is smaller than the sum of its proper divisors (96522629817).

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

54248931396 is a wasteful number, since it uses less digits than its factorization.

54248931396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 3545 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 54248931396 in words is "fifty-four billion, two hundred forty-eight million, nine hundred thirty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3529 4356 7058 10587 14116 21174 31761 38819 42348 63522 77638 116457 127044 155276 232914 349371 427009 465828 698742 854018 1281027 1397484 1708036 2562054 3843081 5124108 7686162 12453841 15372324 24907682 37361523 49815364 74723046 112084569 136992251 149446092 224169138 273984502 410976753 448338276 547969004 821953506 1232930259 1506914761 1643907012 2465860518 3013829522 4520744283 4931721036 6027659044 9041488566 13562232849 18082977132 27124465698 54248931396