Search a number
-
+
20441516657185 = 51321731139330241
BaseRepresentation
bin1001010010111011010010…
…10101101100101000100001
32200101012010102221120200101
410221131221111230220201
510134403211231012220
6111250411512222401
74206564560465521
oct451355125545041
980335112846611
1020441516657185
116571220275468
12236185269aa01
13b5381bc79600
145095361c9681
15256ae64a130a
hex12976956ca21

20441516657185 has 96 divisors (see below), whose sum is σ = 29240524938240. Its totient is φ = 13650060902400.

The previous prime is 20441516657129. The next prime is 20441516657209. The reversal of 20441516657185 is 58175661514402.

It is not a de Polignac number, because 20441516657185 - 229 = 20440979786273 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61733665 + ... + 62063905.

It is an arithmetic number, because the mean of its divisors is an integer number (304588801440).

Almost surely, 220441516657185 is an apocalyptic number.

It is an amenable number.

20441516657185 is a deficient number, since it is larger than the sum of its proper divisors (8799008281055).

20441516657185 is a wasteful number, since it uses less digits than its factorization.

20441516657185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330459 (or 330446 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 55.

The spelling of 20441516657185 in words is "twenty trillion, four hundred forty-one billion, five hundred sixteen million, six hundred fifty-seven thousand, one hundred eighty-five".

Divisors: 1 5 13 17 31 65 85 139 155 169 221 403 527 695 845 1105 1807 2015 2363 2635 2873 4309 5239 6851 9035 11815 14365 21545 23491 26195 30719 34255 56017 73253 89063 117455 153595 280085 330241 366265 399347 445315 728221 952289 1651205 1996735 3641105 4293133 4761445 5614097 10237471 12379757 21465665 28070485 45903499 51187355 55810729 61898785 72983261 133087123 174037007 229517495 279053645 364916305 596745487 665435615 780359483 870185035 948782393 1423008469 1730132599 2262481091 2983727435 3901797415 4743911965 7115042345 7757691331 8650662995 10144673279 11312405455 18499110097 24191143973 29412254183 38788456655 50723366395 92495550485 120955719865 131880752627 147061270915 240488431261 314484871649 659403763135 1202442156305 1572424358245 4088303331437 20441516657185