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5379514306884 = 2232172227392
BaseRepresentation
bin100111001001000010000…
…0010100001000101000100
3201001021110121020110110100
41032102010002201011010
51201114221130310014
615235151553124100
71063441244100264
oct116220402410504
921037417213410
105379514306884
111794491645473
1272a704559630
133003945118b3
14148526d537a4
1594e00910009
hex4e4840a1144

5379514306884 has 81 divisors (see below), whose sum is σ = 14445799761757. Its totient is φ = 1687616542848.

The previous prime is 5379514306849. The next prime is 5379514306897. The reversal of 5379514306884 is 4886034159735.

The square root of 5379514306884 is 2319378.

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

5379514306884 is a `hidden beast` number, since 5 + 3 + 7 + 9 + 514 + 30 + 6 + 8 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4188203180100 + 1191311126784 = 2046510^2 + 1091472^2 .

It is a Duffinian number.

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, 236565187 + ... + 236587925.

Almost surely, 25379514306884 is an apocalyptic number.

5379514306884 is the 2319378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5379514306884

5379514306884 is an abundant number, since it is smaller than the sum of its proper divisors (9066285454873).

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

5379514306884 is an equidigital number, since it uses as much as digits as its factorization.

5379514306884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45522 (or 22761 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5379514306884 in words is "five trillion, three hundred seventy-nine billion, five hundred fourteen million, three hundred six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 22739 45478 68217 90956 136434 204651 272868 386563 409302 773126 818604 1159689 1546252 2319378 3479067 4638756 6571571 6958134 13143142 13916268 19714713 26286284 39429426 59144139 78858852 118288278 236576556 517062121 1034124242 1551186363 2068248484 3102372726 4653559089 6204745452 8790056057 9307118178 17580112114 18614236356 26370168171 35160224228 52740336342 79110504513 105480672684 149430952969 158221009026 298861905938 316442018052 448292858907 597723811876 896585717814 1344878576721 1793171435628 2689757153442 5379514306884