Search a number
-
+
66131305665 = 35196179179269
BaseRepresentation
bin111101100101101110…
…111010010011000001
320022200210201101221020
4331211232322103001
52040414103240130
650214051220053
74530536552265
oct754556722301
9208623641836
1066131305665
1126056441827
12109972a7629
13630baaaac9
1432b4cc20a5
151ac0b75e10
hexf65bba4c1

66131305665 has 128 divisors (see below), whose sum is σ = 115706880000. Its totient is φ = 32148679680.

The previous prime is 66131305649. The next prime is 66131305729. The reversal of 66131305665 is 56650313166.

It is not a de Polignac number, because 66131305665 - 24 = 66131305649 is a prime.

It is a super-2 number, since 2×661313056652 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245841151 + ... + 245841419.

It is an arithmetic number, because the mean of its divisors is an integer number (903960000).

Almost surely, 266131305665 is an apocalyptic number.

It is an amenable number.

66131305665 is a deficient number, since it is larger than the sum of its proper divisors (49575574335).

66131305665 is a wasteful number, since it uses less digits than its factorization.

66131305665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 66131305665 in words is "sixty-six billion, one hundred thirty-one million, three hundred five thousand, six hundred sixty-five".

Divisors: 1 3 5 15 19 57 61 79 95 179 183 237 269 285 305 395 537 807 895 915 1159 1185 1345 1501 2685 3401 3477 4035 4503 4819 5111 5795 7505 10203 10919 14141 14457 15333 16409 17005 17385 21251 22515 24095 25555 32757 42423 48151 49227 51015 54595 63753 70705 72285 76665 82045 91561 106255 144453 163785 207461 212115 240755 246135 268679 274683 311771 318765 403769 457805 622383 722265 806037 862601 914869 935313 1037305 1211307 1296311 1343395 1373415 1558855 2018845 2587803 2744607 2937211 3111915 3803929 3888933 4030185 4313005 4574345 4676565 6056535 6481555 8811633 11411787 12939015 13723035 14686055 16389419 19019645 19444665 24629909 44058165 49168257 55807009 57058935 72274651 73889727 81947095 123149545 167421027 216823953 232039669 245841285 279035045 361373255 369448635 696119007 837105135 1084119765 1160198345 3480595035 4408753711 13226261133 22043768555 66131305665