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53348064784 = 24727321132
BaseRepresentation
bin110001101011110010…
…101101111000010000
312002200220210111002021
4301223302231320100
51333224101033114
640301402101224
73566005032400
oct615362557020
9162626714067
1053348064784
1120696656743
12a40a1aa814
1350525b0651
14282125c800
1515c378e024
hexc6bcade10

53348064784 has 135 divisors (see below), whose sum is σ = 122995302183. Its totient is φ = 22350698496.

The previous prime is 53348064743. The next prime is 53348064797. The reversal of 53348064784 is 48746084335.

The square root of 53348064784 is 230972.

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

53348064784 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 4 ways, for example, as 16237895184 + 37110169600 = 127428^2 + 192640^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 472106712 + ... + 472106824.

Almost surely, 253348064784 is an apocalyptic number.

53348064784 is the 230972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53348064784

53348064784 is an abundant number, since it is smaller than the sum of its proper divisors (69647237399).

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

53348064784 is an equidigital number, since it uses as much as digits as its factorization.

53348064784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 53348064784 in words is "fifty-three billion, three hundred forty-eight million, sixty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 113 146 196 226 292 392 452 511 584 784 791 904 1022 1168 1582 1808 2044 3164 3577 4088 5329 5537 6328 7154 8176 8249 10658 11074 12656 12769 14308 16498 21316 22148 25538 28616 32996 37303 42632 44296 51076 57232 57743 65992 74606 85264 88592 89383 102152 115486 131984 149212 178766 204304 230972 261121 298424 357532 404201 461944 522242 596848 602177 625681 715064 808402 923888 932137 1044484 1204354 1251362 1430128 1616804 1864274 2088968 2408708 2502724 3233608 3728548 4177936 4215239 4817416 5005448 6467216 6524959 7457096 8430478 9634832 10010896 13049918 14914192 16860956 26099836 29506673 33721912 45674713 52199672 59013346 67443824 68046001 91349426 104399344 118026692 136092002 182698852 236053384 272184004 365397704 472106768 476322007 544368008 730795408 952644014 1088736016 1905288028 3334254049 3810576056 6668508098 7621152112 13337016196 26674032392 53348064784