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1020046545405 = 325179411416997
BaseRepresentation
bin11101101011111111000…
…00110001000111111101
310121111220210112110000200
432311333200301013331
5113203023403423110
62100334121314113
7133460463401556
oct16657740610775
93544823473020
101020046545405
11363665756198
12145837635939
13752614bc324
14375289a732d
151b8016286c0
hexed7f8311fd

1020046545405 has 48 divisors (see below), whose sum is σ = 1874076210864. Its totient is φ = 511478876160.

The previous prime is 1020046545361. The next prime is 1020046545409. The reversal of 1020046545405 is 5045456400201.

1020046545405 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 46 + 54 + 540 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33437413881 + 986609131524 = 182859^2 + 993282^2 .

It is not a de Polignac number, because 1020046545405 - 26 = 1020046545341 is a prime.

It is a super-2 number, since 2×10200465454052 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020046545405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020046545409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11367 + ... + 1428363.

It is an arithmetic number, because the mean of its divisors is an integer number (39043254393).

Almost surely, 21020046545405 is an apocalyptic number.

1020046545405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020046545405 is a deficient number, since it is larger than the sum of its proper divisors (854029665459).

1020046545405 is a wasteful number, since it uses less digits than its factorization.

1020046545405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417966 (or 1417963 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1020046545405 in words is "one trillion, twenty billion, forty-six million, five hundred forty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 941 2823 4705 8469 14115 15997 42345 47991 79985 143973 239955 719865 1416997 4250991 7084985 12752973 21254955 24088949 63764865 72266847 120444745 216800541 361334235 1084002705 1333394177 4000182531 6666970885 12000547593 20000912655 22667701009 60002737965 68003103027 113338505045 204009309081 340015515135 1020046545405