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54292728064 = 28145632
BaseRepresentation
bin110010100100000110…
…010100100100000000
312012010202100100111011
4302210012110210000
51342142414244224
640535225330304
73631265400631
oct624406244400
9165122310434
1054292728064
11210309141a3
12a632636994
1351732142c3
1428b08c3888
15162b68e394
hexca4194900

54292728064 has 27 divisors (see below), whose sum is σ = 108380817363. Its totient is φ = 27144499968.

The previous prime is 54292728029. The next prime is 54292728067. The reversal of 54292728064 is 46082729245.

The square root of 54292728064 is 233008.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54292727999 and 54292728017.

It is not an unprimeable number, because it can be changed into a prime (54292728067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3720847 + ... + 3735409.

Almost surely, 254292728064 is an apocalyptic number.

54292728064 is the 233008-th square number.

It is an amenable number.

54292728064 is a deficient number, since it is larger than the sum of its proper divisors (54088089299).

54292728064 is an frugal number, since it uses more digits than its factorization.

54292728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29142 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 54292728064 by its sum of digits (49), we get a square (2660343675136 = 16310562).

The spelling of 54292728064 in words is "fifty-four billion, two hundred ninety-two million, seven hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 14563 29126 58252 116504 233008 466016 932032 1864064 3728128 212080969 424161938 848323876 1696647752 3393295504 6786591008 13573182016 27146364032 54292728064