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23065994527849 = 721328925932
BaseRepresentation
bin1010011111010011110000…
…11010010000010001101001
310000200002100211002011011001
411033221320122100101221
511010403124044342344
6121020212133235001
74600314563351200
oct517517032202151
9100602324064131
1023065994527849
117393262644319
122706416a92a61
13cb4163471c00
1459a585bd0237
1529eeed233ed4
hex14fa78690469

23065994527849 has 81 divisors (see below), whose sum is σ = 29434390578063. Its totient is φ = 18014531318784.

The previous prime is 23065994527819. The next prime is 23065994527951. The reversal of 23065994527849 is 94872549956032.

The square root of 23065994527849 is 4802707.

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 22335482437849 + 730512090000 = 4726043^2 + 854700^2 .

It is not a de Polignac number, because 23065994527849 - 211 = 23065994525801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23065994527819) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38897123697 + ... + 38897124289.

Almost surely, 223065994527849 is an apocalyptic number.

23065994527849 is the 4802707-th square number.

23065994527849 is the 2401354-th centered octagonal number.

It is an amenable number.

23065994527849 is a deficient number, since it is larger than the sum of its proper divisors (6368396050214).

23065994527849 is an frugal number, since it uses more digits than its factorization.

23065994527849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 73.

The spelling of 23065994527849 in words is "twenty-three trillion, sixty-five billion, nine hundred ninety-four million, five hundred twenty-seven thousand, eight hundred forty-nine".

Divisors: 1 7 13 49 89 91 169 593 623 637 1157 1183 4151 4361 7709 7921 8099 8281 15041 29057 52777 53963 55447 56693 100217 102973 105287 351649 369439 377741 388129 686101 701519 720811 737009 1338649 2461543 2586073 4571437 4697153 4802707 4910633 5045677 8919313 9370543 17230801 31296761 32000059 32880071 33618949 59428681 61062989 62435191 65593801 219077327 224000413 230160497 406857893 416000767 427440923 437046337 793818857 1533541289 2785411729 2848005251 2912005369 2992086461 5289152609 5556731999 19497882103 19936036757 36210352477 37024068263 38897123993 136485174721 253472467339 259168477841 470734582201 1774307271373 3295142075407 23065994527849