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61445154524560 = 245768064431557
BaseRepresentation
bin11011111100010010100001…
…00110111100110110010000
322001120002200110120211100121
431332021100212330312100
531023204134024241220
6334403303031200024
715641160131626612
oct1576112046746620
9261502613524317
1061445154524560
111863a81a947a94
126a84595b16014
13283933a3ba941
141125d65d16db2
157184e1ec5eaa
hex37e2509bcd90

61445154524560 has 20 divisors (see below), whose sum is σ = 142859984269788. Its totient is φ = 24578061809792.

The previous prime is 61445154524531. The next prime is 61445154524617. The reversal of 61445154524560 is 6542545154416.

61445154524560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39935928582144 + 21509225942416 = 6319488^2 + 4637804^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 61445154524498 and 61445154524507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384032215699 + ... + 384032215858.

Almost surely, 261445154524560 is an apocalyptic number.

It is an amenable number.

61445154524560 is an abundant number, since it is smaller than the sum of its proper divisors (81414829745228).

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

61445154524560 is a wasteful number, since it uses less digits than its factorization.

61445154524560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768064431570 (or 768064431564 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 52.

Adding to 61445154524560 its reverse (6542545154416), we get a palindrome (67987699678976).

The spelling of 61445154524560 in words is "sixty-one trillion, four hundred forty-five billion, one hundred fifty-four million, five hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 768064431557 1536128863114 3072257726228 3840322157785 6144515452456 7680644315570 12289030904912 15361288631140 30722577262280 61445154524560