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53713332207844 = 2217229274332
BaseRepresentation
bin11000011011010000111000…
…00101100000000011100100
321001011221111110211021021121
430031220130011200003210
524020014401021122334
6310123321505423324
714212442305411321
oct1415503405400344
9231157443737247
1053713332207844
1116129772800551
12603600633ab44
1323c81b785849a
14d39a4c329b48
15632318b2edb4
hex30da1c1600e4

53713332207844 has 81 divisors (see below), whose sum is σ = 103428748076017. Its totient is φ = 24401962912768.

The previous prime is 53713332207823. The next prime is 53713332207851. The reversal of 53713332207844 is 44870223331735.

The square root of 53713332207844 is 7328938.

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

It can be written as a sum of positive squares in 13 ways, for example, as 38242325985444 + 15471006222400 = 6184038^2 + 3933320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53713332207791 and 53713332207800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7226329152 + ... + 7226336584.

Almost surely, 253713332207844 is an apocalyptic number.

53713332207844 is the 7328938-th square number.

It is an amenable number.

53713332207844 is a deficient number, since it is larger than the sum of its proper divisors (49715415868173).

53713332207844 is an frugal number, since it uses more digits than its factorization.

53713332207844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14962 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 52.

The spelling of 53713332207844 in words is "fifty-three trillion, seven hundred thirteen billion, three hundred thirty-two million, two hundred seven thousand, eight hundred forty-four".

Divisors: 1 2 4 17 29 34 58 68 116 289 493 578 841 986 1156 1682 1972 3364 7433 8381 14297 14866 16762 28594 29732 33524 57188 126361 215557 243049 252722 431114 486098 505444 862228 972196 2148137 3664469 4296274 6251153 7328938 8592548 12502306 14657876 25004612 55249489 62295973 106269601 110498978 124591946 212539202 220997956 249183892 425078404 939241313 1602235181 1806583217 1878482626 3204470362 3613166434 3756965252 6408940724 7226332868 15967102321 27237998077 31934204642 46464820249 54475996154 63868409284 92929640498 108951992308 185859280996 463045967309 789901944233 926091934618 1579803888466 1852183869236 3159607776932 13428333051961 26856666103922 53713332207844