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46428516441 = 34710980629
BaseRepresentation
bin101011001111010110…
…101111000001011001
311102211200110000020000
4223033112233001121
51230041200011231
633155020123213
73232353610146
oct531726570131
9142750400200
1046428516441
111876576164a
128bb8996509
1344bbb65548
1423662853cd
15131b0676e6
hexacf5af059

46428516441 has 20 divisors (see below), whose sum is σ = 69366795300. Its totient is φ = 30947606496.

The previous prime is 46428516401. The next prime is 46428516499. The reversal of 46428516441 is 14461582464.

46428516441 is a `hidden beast` number, since 464 + 28 + 5 + 164 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15327430416 + 31101086025 = 123804^2 + 176355^2 .

It is not a de Polignac number, because 46428516441 - 27 = 46428516313 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46428516401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 535515 + ... + 616143.

It is an arithmetic number, because the mean of its divisors is an integer number (3468339765).

Almost surely, 246428516441 is an apocalyptic number.

It is an amenable number.

46428516441 is a deficient number, since it is larger than the sum of its proper divisors (22938278859).

46428516441 is an equidigital number, since it uses as much as digits as its factorization.

46428516441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87750 (or 87741 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 46428516441 in words is "forty-six billion, four hundred twenty-eight million, five hundred sixteen thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 7109 21327 63981 80629 191943 241887 575829 725661 2176983 6530949 573191561 1719574683 5158724049 15476172147 46428516441