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54001540513 = 661129762989
BaseRepresentation
bin110010010010101111…
…100001110110100001
312011101110102111021001
4302102233201312201
51341043343244023
640450304232001
73621131343424
oct622257416641
9164343374231
1054001540513
11209a1509728
12a57100b601
135127ab068b
142883d659bb
151610d216ad
hexc92be1da1

54001540513 has 8 divisors (see below), whose sum is σ = 54125795240. Its totient is φ = 53877415680.

The previous prime is 54001540433. The next prime is 54001540529. The reversal of 54001540513 is 31504510045.

54001540513 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 4 ways, for example, as 18564607504 + 35436933009 = 136252^2 + 188247^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54001540513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54001540913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825823 + ... + 888811.

It is an arithmetic number, because the mean of its divisors is an integer number (6765724405).

Almost surely, 254001540513 is an apocalyptic number.

It is an amenable number.

54001540513 is a deficient number, since it is larger than the sum of its proper divisors (124254727).

54001540513 is a wasteful number, since it uses less digits than its factorization.

54001540513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64947.

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 54001540513 in words is "fifty-four billion, one million, five hundred forty thousand, five hundred thirteen".

Divisors: 1 661 1297 62989 857317 41635729 81696733 54001540513