Search a number
-
+
1052415425205 = 325101277835937
BaseRepresentation
bin11110101000010001101…
…10001111101010110101
310201121110122021220120200
433110020312033222311
5114220321322101310
62123250054551113
7136014556341534
oct17241066175265
93647418256520
101052415425205
11376366086721
1214bb6b968499
137831c595241
1438d1989031b
151c5981cc9c0
hexf508d8fab5

1052415425205 has 48 divisors (see below), whose sum is σ = 1848900918384. Its totient is φ = 553724006400.

The previous prime is 1052415425167. The next prime is 1052415425267. The reversal of 1052415425205 is 5025245142501.

1052415425205 is a `hidden beast` number, since 1 + 0 + 5 + 24 + 1 + 5 + 425 + 205 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 120632571684 + 931782853521 = 347322^2 + 965289^2 .

It is not a de Polignac number, because 1052415425205 - 27 = 1052415425077 is a prime.

It is a super-2 number, since 2×10524154252052 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1052415425205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840997 + ... + 1676933.

It is an arithmetic number, because the mean of its divisors is an integer number (38518769133).

Almost surely, 21052415425205 is an apocalyptic number.

1052415425205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1052415425205 is a deficient number, since it is larger than the sum of its proper divisors (796485493179).

1052415425205 is a wasteful number, since it uses less digits than its factorization.

1052415425205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836326 (or 836323 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 1052415425205 in words is "one trillion, fifty-two billion, four hundred fifteen million, four hundred twenty-five thousand, two hundred five".

Divisors: 1 3 5 9 15 45 101 277 303 505 831 909 1385 1515 2493 4155 4545 12465 27977 83931 139885 251793 419655 835937 1258965 2507811 4179685 7523433 12539055 37617165 84429637 231554549 253288911 422148185 694663647 759866733 1157772745 1266444555 2083990941 3473318235 3799333665 10419954705 23387009449 70161028347 116935047245 210483085041 350805141735 1052415425205