Search a number
-
+
205111689375 = 3542953103691
BaseRepresentation
bin1011111100000110011…
…1000000000010011111
3201121102120211102002010
42333001213000002133
511330032043030000
6234121011202303
720550600410325
oct2770147000237
9647376742063
10205111689375
1179a9522407a
12339035a6393
131645a355048
149cdad37d15
1555070ddd50
hex2fc19c009f

205111689375 has 160 divisors (see below), whose sum is σ = 364221411840. Its totient is φ = 102473280000.

The previous prime is 205111689329. The next prime is 205111689451. The reversal of 205111689375 is 573986111502.

It is not a de Polignac number, because 205111689375 - 27 = 205111689247 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 296832780 + ... + 296833470.

It is an arithmetic number, because the mean of its divisors is an integer number (2276383824).

Almost surely, 2205111689375 is an apocalyptic number.

205111689375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205111689375 is a deficient number, since it is larger than the sum of its proper divisors (159109722465).

205111689375 is a wasteful number, since it uses less digits than its factorization.

205111689375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 205111689375 in words is "two hundred five billion, one hundred eleven million, six hundred eighty-nine thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 29 53 75 87 103 125 145 159 265 309 375 435 515 625 691 725 795 1325 1537 1545 1875 2073 2175 2575 2987 3455 3625 3975 4611 5459 6625 7685 7725 8961 10365 10875 12875 14935 16377 17275 18125 19875 20039 23055 27295 33125 36623 38425 38625 44805 51825 54375 60117 64375 71173 74675 81885 86375 99375 100195 109869 115275 136475 158311 183115 192125 193125 213519 224025 259125 300585 355865 373375 409425 431875 474933 500975 549345 576375 682375 791555 915575 960625 1062067 1067595 1120125 1295625 1502925 1779325 1866875 2047125 2064017 2374665 2504875 2746725 2881875 3186201 3411875 3772169 3957775 4577875 5310335 5337975 5600625 6192051 7514625 8896625 10235625 10320085 11316507 11873325 12524375 13733625 15931005 18860845 19788875 22889375 26551675 26689875 30960255 37573125 44483125 51600425 56582535 59366625 68668125 79655025 94304225 98944375 109392901 132758375 133449375 154801275 258002125 282912675 296833125 328178703 398275125 471521125 546964505 663791875 774006375 1290010625 1414563375 1640893515 1991375625 2357605625 2734822525 3870031875 7072816875 8204467575 13674112625 41022337875 68370563125 205111689375