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1643966464 = 212728191
BaseRepresentation
bin110000111111100…
…1111000000000000
311020120102011000211
41201333033000000
511331323411324
6431043523504
755511325100
oct14177170000
94216364024
101643966464
11773a81378
1239a689594
1320278ab2a
1411849b200
15994d6294
hex61fcf000

1643966464 has 78 divisors (see below), whose sum is σ = 3824738304. Its totient is φ = 704471040.

The previous prime is 1643966353. The next prime is 1643966477. The reversal of 1643966464 is 4646693461.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 196609 + ... + 204799.

Almost surely, 21643966464 is an apocalyptic number.

1643966464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1643966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912369152).

1643966464 is an abundant number, since it is smaller than the sum of its proper divisors (2180771840).

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

1643966464 is an frugal number, since it uses more digits than its factorization.

1643966464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8200 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 49.

The square root of 1643966464 is about 40545.8563110955. The cubic root of 1643966464 is about 1180.2236634346.

1643966464 divided by its sum of digits (49) gives a triangular number (33550336 = T8191).

The spelling of 1643966464 in words is "one billion, six hundred forty-three million, nine hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 4096 6272 7168 8191 12544 14336 16382 25088 28672 32764 50176 57337 65528 100352 114674 131056 200704 229348 262112 401359 458696 524224 802718 917392 1048448 1605436 1834784 2096896 3210872 3669568 4193792 6421744 7339136 8387584 12843488 14678272 16775168 25686976 29356544 33550336 51373952 58713088 102747904 117426176 205495808 234852352 410991616 821983232 1643966464