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5641344765 = 335721137547
BaseRepresentation
bin1010100000100000…
…00001011011111101
3112120011012000012000
411100100001123331
543023141013030
62331441332513
7256540432200
oct52020013375
915504160160
105641344765
112435434901
121115337139
136bb9a2134
143b732b937
152303de860
hex1504016fd

5641344765 has 96 divisors (see below), whose sum is σ = 11771256960. Its totient is φ = 2555739648.

The previous prime is 5641344713. The next prime is 5641344769. The reversal of 5641344765 is 5674431465.

5641344765 is a `hidden beast` number, since 564 + 13 + 4 + 4 + 76 + 5 = 666.

It is not a de Polignac number, because 5641344765 - 211 = 5641342717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5641344765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641344769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 743722 + ... + 751268.

It is an arithmetic number, because the mean of its divisors is an integer number (122617260).

Almost surely, 25641344765 is an apocalyptic number.

It is an amenable number.

5641344765 is an abundant number, since it is smaller than the sum of its proper divisors (6129912195).

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

5641344765 is a wasteful number, since it uses less digits than its factorization.

5641344765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688 (or 7675 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5641344765 is about 75108.8860588413. The cubic root of 5641344765 is about 1780.1675519802.

The spelling of 5641344765 in words is "five billion, six hundred forty-one million, three hundred forty-four thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 113 135 147 189 245 315 339 441 565 735 791 945 1017 1323 1695 2205 2373 3051 3955 5085 5537 6615 7119 7547 11865 15255 16611 21357 22641 27685 35595 37735 49833 52829 67923 83055 106785 113205 149499 158487 203769 249165 264145 339615 369803 475461 747495 792435 852811 1018845 1109409 1426383 1849015 2377305 2558433 3328227 4264055 5547045 5969677 7131915 7675299 9984681 12792165 16641135 17909031 23025897 29848385 38376495 41787739 49923405 53727093 89545155 115129485 125363217 161181279 208938695 268635465 376089651 626816085 805906395 1128268953 1880448255 5641344765