Search a number
-
+
1012534164405 = 325672511337977
BaseRepresentation
bin11101011101111111011…
…11010011101110110101
310120210112020122221122100
432232333233103232311
5113042132221230110
62053052441052313
7133103353251261
oct16567757235665
93523466587570
101012534164405
11360460159155
1214429b787099
1374634cb7a7a
1437014d910a1
151b511d4cbc0
hexebbfbd3bb5

1012534164405 has 48 divisors (see below), whose sum is σ = 1788352098624. Its totient is φ = 529838496000.

The previous prime is 1012534164401. The next prime is 1012534164427. The reversal of 1012534164405 is 5044614352101.

1012534164405 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 3 + 4 + 1 + 644 + 0 + 5 = 666.

It is not a de Polignac number, because 1012534164405 - 22 = 1012534164401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1012534164405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012534164401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87777 + ... + 1425753.

It is an arithmetic number, because the mean of its divisors is an integer number (37257335388).

Almost surely, 21012534164405 is an apocalyptic number.

1012534164405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012534164405 is a deficient number, since it is larger than the sum of its proper divisors (775817934219).

1012534164405 is a wasteful number, since it uses less digits than its factorization.

1012534164405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338306 (or 1338303 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1012534164405 in words is "one trillion, twelve billion, five hundred thirty-four million, one hundred sixty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 45 67 201 251 335 603 753 1005 1255 2259 3015 3765 11295 16817 50451 84085 151353 252255 756765 1337977 4013931 6689885 12041793 20069655 60208965 89644459 268933377 335832227 448222295 806800131 1007496681 1344666885 1679161135 3022490043 4034000655 5037483405 15112450215 22500759209 67502277627 112503796045 202506832881 337511388135 1012534164405