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4665344435664 = 243112803261783
BaseRepresentation
bin100001111100011110000…
…1100101010010111010000
3121112000001212122000122020
41003320330030222113100
51102414111133420124
613531121334211440
7661026404253663
oct103707414522720
917460055560566
104665344435664
11153961a343900
126342124b3b80
1327ac2b4ca293
14121b37b976da
158155286c379
hex43e3c32a5d0

4665344435664 has 60 divisors (see below), whose sum is σ = 13247393341728. Its totient is φ = 1413740736320.

The previous prime is 4665344435663. The next prime is 4665344435803.

4665344435664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4665344435598 and 4665344435607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4665344435663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401625084 + ... + 401636699.

Almost surely, 24665344435664 is an apocalyptic number.

4665344435664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4665344435664 is an abundant number, since it is smaller than the sum of its proper divisors (8582048906064).

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

4665344435664 is a wasteful number, since it uses less digits than its factorization.

4665344435664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803261816 (or 803261799 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 60.

The spelling of 4665344435664 in words is "four trillion, six hundred sixty-five billion, three hundred forty-four million, four hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 803261783 1606523566 2409785349 3213047132 4819570698 6426094264 8835879613 9639141396 12852188528 17671759226 19278282792 26507638839 35343518452 38556565584 53015277678 70687036904 97194675743 106030555356 141374073808 194389351486 212061110712 291584027229 388778702972 424122221424 583168054458 777557405944 1166336108916 1555114811888 2332672217832 4665344435664