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46145604224 = 27360512533
BaseRepresentation
bin101010111110011111…
…100000101010000000
311102002222002120121202
4222332133200222000
51224001233313344
633110552240332
73222350110166
oct527637405200
9142088076552
1046145604224
111862aa994a5
128b3a0a00a8
13447536b475
14233a87d236
1513012d194e
hexabe7e0a80

46145604224 has 16 divisors (see below), whose sum is σ = 91930696170. Its totient is φ = 23072802048.

The previous prime is 46145604221. The next prime is 46145604259. The reversal of 46145604224 is 42240654164.

It can be written as a sum of positive squares in only one way, i.e., 37570844224 + 8574760000 = 193832^2 + 92600^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (46145604221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180256139 + ... + 180256394.

Almost surely, 246145604224 is an apocalyptic number.

It is an amenable number.

46145604224 is a deficient number, since it is larger than the sum of its proper divisors (45785091946).

46145604224 is an equidigital number, since it uses as much as digits as its factorization.

46145604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360512547 (or 360512535 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 46145604224 in words is "forty-six billion, one hundred forty-five million, six hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 360512533 721025066 1442050132 2884100264 5768200528 11536401056 23072802112 46145604224