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44430795648 = 273312856133
BaseRepresentation
bin101001011000010010…
…000010001110000000
311020200110101021111000
4221120102002032000
51211443240430043
632224454052000
73132015350241
oct513022021600
9136613337430
1044430795648
1117930031428
12873b94a000
134261008735
142216c20cc8
1512509a52d3
hexa58482380

44430795648 has 64 divisors (see below), whose sum is σ = 131132566800. Its totient is φ = 14810264064.

The previous prime is 44430795623. The next prime is 44430795691. The reversal of 44430795648 is 84659703444.

44430795648 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 0 + 79 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 44430795594 and 44430795603.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6424611 + ... + 6431522.

Almost surely, 244430795648 is an apocalyptic number.

44430795648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44430795648 is an abundant number, since it is smaller than the sum of its proper divisors (86701771152).

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

44430795648 is a wasteful number, since it uses less digits than its factorization.

44430795648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12856156 (or 12856138 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 44430795648 in words is "forty-four billion, four hundred thirty million, seven hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 12856133 25712266 38568399 51424532 77136798 102849064 115705197 154273596 205698128 231410394 308547192 347115591 411396256 462820788 617094384 694231182 822792512 925641576 1234188768 1388462364 1645585024 1851283152 2468377536 2776924728 3702566304 4936755072 5553849456 7405132608 11107698912 14810265216 22215397824 44430795648