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5345469040 = 245616716349
BaseRepresentation
bin1001111101001110…
…10110001001110000
3111210112102221222211
410332213112021300
541421420002130
62242231541504
7246315510562
oct47647261160
914715387884
105345469040
1122a341800a
12105222a894
136725b9642
14389d0d332
15214447a2a
hex13e9d6270

5345469040 has 80 divisors (see below), whose sum is σ = 12821277600. Its totient is φ = 2071618560.

The previous prime is 5345469037. The next prime is 5345469047. The reversal of 5345469040 is 409645435.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5345468984 and 5345469002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345469047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318786 + ... + 335134.

It is an arithmetic number, because the mean of its divisors is an integer number (160265970).

Almost surely, 25345469040 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 5345469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410638800).

5345469040 is an abundant number, since it is smaller than the sum of its proper divisors (7475808560).

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

5345469040 is a wasteful number, since it uses less digits than its factorization.

5345469040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16490 (or 16484 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 5345469040 is about 73112.7146261168. The cubic root of 5345469040 is about 1748.4851151431.

5345469040 divided by its sum of digits (40) gives a triangular number (133636726 = T16348).

The spelling of 5345469040 in words is "five billion, three hundred forty-five million, four hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 67 80 122 134 244 268 305 335 488 536 610 670 976 1072 1220 1340 2440 2680 4087 4880 5360 8174 16348 16349 20435 32696 32698 40870 65392 65396 81740 81745 130792 163480 163490 261584 326960 326980 653960 997289 1095383 1307920 1994578 2190766 3989156 4381532 4986445 5476915 7978312 8763064 9972890 10953830 15956624 17526128 19945780 21907660 39891560 43815320 66818363 79783120 87630640 133636726 267273452 334091815 534546904 668183630 1069093808 1336367260 2672734520 5345469040