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6443701840 = 2455313711093
BaseRepresentation
bin1100000000001001…
…10001011001010000
3121122001221222011201
412000010301121100
5101144041424330
62543222520544
7315452363512
oct60004613120
917561858151
106443701840
112807335624
1212b9b96154
137b8c9bb34
14451b0bbb2
1527aa7eeca
hex180131650

6443701840 has 80 divisors (see below), whose sum is σ = 15377082768. Its totient is φ = 2510163968.

The previous prime is 6443701807. The next prime is 6443701841. The reversal of 6443701840 is 481073446.

It can be written as a sum of positive squares in 8 ways, for example, as 457275456 + 5986426384 = 21384^2 + 77372^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 6443701840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6443701841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575334 + ... + 586426.

Almost surely, 26443701840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6443701840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688541384).

6443701840 is an abundant number, since it is smaller than the sum of its proper divisors (8933380928).

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

6443701840 is a wasteful number, since it uses less digits than its factorization.

6443701840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11296 (or 11290 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 6443701840 is about 80272.6718130149. The cubic root of 6443701840 is about 1860.8519086702.

The spelling of 6443701840 in words is "six billion, four hundred forty-three million, seven hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 137 212 265 274 424 530 548 685 848 1060 1096 1370 2120 2192 2740 4240 5480 7261 10960 11093 14522 22186 29044 36305 44372 55465 58088 72610 88744 110930 116176 145220 177488 221860 290440 443720 580880 587929 887440 1175858 1519741 2351716 2939645 3039482 4703432 5879290 6078964 7598705 9406864 11758580 12157928 15197410 23517160 24315856 30394820 47034320 60789640 80546273 121579280 161092546 322185092 402731365 644370184 805462730 1288740368 1610925460 3221850920 6443701840