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54361720336 = 24721127572
BaseRepresentation
bin110010101000001101…
…100000011000010000
312012022120011112002111
4302220031200120100
51342313100022321
640550132155104
73633063666400
oct625015403020
9165276145074
1054361720336
1121066857100
12a651768a94
1351845bc231
1428b9b22800
15163276b5e1
hexca8360610

54361720336 has 135 divisors (see below), whose sum is σ = 134850956877. Its totient is φ = 21151912320.

The previous prime is 54361720333. The next prime is 54361720339. The reversal of 54361720336 is 63302716345.

The square root of 54361720336 is 233156.

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

It is an interprime number because it is at equal distance from previous prime (54361720333) and next prime (54361720339).

It can be written as a sum of positive squares in only one way, i.e., 33584227600 + 20777492736 = 183260^2 + 144144^2 .

It is not an unprimeable number, because it can be changed into a prime (54361720333) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71811670 + ... + 71812426.

Almost surely, 254361720336 is an apocalyptic number.

54361720336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

54361720336 is the 233156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54361720336

54361720336 is an abundant number, since it is smaller than the sum of its proper divisors (80489236541).

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

54361720336 is an equidigital number, since it uses as much as digits as its factorization.

54361720336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 54361720336 in words is "fifty-four billion, three hundred sixty-one million, seven hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 757 784 847 968 1078 1232 1514 1694 1936 2156 3028 3388 4312 5299 5929 6056 6776 8327 8624 10598 11858 12112 13552 16654 21196 23716 33308 37093 42392 47432 58289 66616 74186 84784 91597 94864 116578 133232 148372 183194 233156 296744 366388 408023 466312 573049 593488 641179 732776 816046 932624 1146098 1282358 1465552 1632092 2292196 2564716 3264184 4011343 4488253 4584392 5129432 6303539 6528368 8022686 8976506 9168784 10258864 12607078 16045372 17953012 25214156 28079401 32090744 35906024 44124773 50428312 56158802 64181488 69338929 71812048 88249546 100856624 112317604 138677858 176499092 224635208 277355716 308873411 352998184 449270416 485372503 554711432 617746822 705996368 970745006 1109422864 1235493644 1941490012 2470987288 3397607521 3882980024 4941974576 6795215042 7765960048 13590430084 27180860168 54361720336