Search a number
-
+
6444463640 = 235413929551
BaseRepresentation
bin1100000000001111…
…01011011000011000
3121122010101200011112
412000013223120120
5101144240314030
62543251115452
7315462015506
oct60007533030
917563350145
106444463640
112807805a0a
1212ba2a2b88
137b91a77c4
14451c69676
1527ab80a95
hex1801eb618

6444463640 has 32 divisors (see below), whose sum is σ = 14853706560. Its totient is φ = 2514912000.

The previous prime is 6444463639. The next prime is 6444463651. The reversal of 6444463640 is 463644446.

It is a super-3 number, since 3×64444636403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 7 ways as a sum of consecutive naturals, for example, 1963136 + ... + 1966415.

It is an arithmetic number, because the mean of its divisors is an integer number (464178330).

Almost surely, 26444463640 is an apocalyptic number.

It is an amenable number.

6444463640 is an abundant number, since it is smaller than the sum of its proper divisors (8409242920).

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

6444463640 is a wasteful number, since it uses less digits than its factorization.

6444463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929603 (or 3929599 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 41.

The square root of 6444463640 is about 80277.4167496688. The cubic root of 6444463640 is about 1860.9252382126.

The spelling of 6444463640 in words is "six billion, four hundred forty-four million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 3929551 7859102 15718204 19647755 31436408 39295510 78591020 157182040 161111591 322223182 644446364 805557955 1288892728 1611115910 3222231820 6444463640