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461242093319460 = 223252562456073997
BaseRepresentation
bin110100011011111110100101…
…1001000001011010100100100
32020111010022110112100221001100
41220313331023020023110210
5440423442301342210320
64312551405324000100
7166103433024036105
oct15067751310132444
92214108415327040
10461242093319460
11123a69745138812
1243893983990030
1316a49c3435565b
1481c8344aa43ac
15384ce7304b790
hex1a37f4b20b524

461242093319460 has 36 divisors (see below), whose sum is σ = 1399101016402908. Its totient is φ = 122997891551808.

The previous prime is 461242093319387. The next prime is 461242093319477. The reversal of 461242093319460 is 64913390242164.

It is a happy number.

461242093319460 is a `hidden beast` number, since 4 + 6 + 1 + 242 + 0 + 9 + 331 + 9 + 4 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128041536015936 + 333200557303524 = 11315544^2 + 18253782^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4612420933194602 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461242093319397 and 461242093319406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281228036819 + ... + 1281228037178.

It is an arithmetic number, because the mean of its divisors is an integer number (38863917122303).

Almost surely, 2461242093319460 is an apocalyptic number.

It is an amenable number.

461242093319460 is an abundant number, since it is smaller than the sum of its proper divisors (937858923083448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461242093319460 is a wasteful number, since it uses less digits than its factorization.

461242093319460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562456074012 (or 2562456074007 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 461242093319460 in words is "four hundred sixty-one trillion, two hundred forty-two billion, ninety-three million, three hundred nineteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2562456073997 5124912147994 7687368221991 10249824295988 12812280369985 15374736443982 23062104665973 25624560739970 30749472887964 38436841109955 46124209331946 51249121479940 76873682219910 92248418663892 115310523329865 153747364439820 230621046659730 461242093319460