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5082633765 = 345115961317
BaseRepresentation
bin1001011101111001…
…01101011000100101
3111010012212112210000
410232330231120211
540402123240030
62200202251513
7236644450146
oct45674553045
914105775700
105082633765
112179017a80
12b9a1b6b99
13630001a01
14363051acd
151eb32a860
hex12ef2d625

5082633765 has 160 divisors (see below), whose sum is σ = 10305947520. Its totient is φ = 2375308800.

The previous prime is 5082633763. The next prime is 5082633791. The reversal of 5082633765 is 5673362805.

5082633765 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 633 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 5082633765 - 21 = 5082633763 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 5082633765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082633763) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16033387 + ... + 16033703.

It is an arithmetic number, because the mean of its divisors is an integer number (64412172).

Almost surely, 25082633765 is an apocalyptic number.

5082633765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5082633765 is an abundant number, since it is smaller than the sum of its proper divisors (5223313755).

5082633765 is a wasteful number, since it uses less digits than its factorization.

5082633765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5082633765 is about 71292.5926376647. The cubic root of 5082633765 is about 1719.3446400170.

The spelling of 5082633765 in words is "five billion, eighty-two million, six hundred thirty-three thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 59 61 81 99 135 165 177 183 295 297 305 317 405 495 531 549 649 671 885 891 915 951 1485 1585 1593 1647 1947 2013 2655 2745 2853 3245 3355 3487 3599 4455 4755 4779 4941 5841 6039 7965 8235 8559 9735 10065 10461 10797 14265 17435 17523 17995 18117 18703 19337 23895 24705 25677 29205 30195 31383 32391 39589 42795 52305 52569 53985 54351 56109 58011 87615 90585 93515 94149 96685 97173 118767 128385 156915 161955 168327 174033 197945 205733 212707 262845 271755 280545 282447 290055 291519 356301 470745 485865 504981 522099 593835 617199 638121 841635 870165 1028665 1063535 1068903 1140883 1412235 1457595 1514943 1566297 1781505 1851597 1914363 2524905 2610495 3085995 3190605 3206709 3422649 5344515 5554791 5704415 5743089 7574715 7831485 9257985 9571815 10267947 12549713 16033545 16664373 17113245 17229267 27773955 28715445 30803841 37649139 51339735 62748565 83321865 86146335 92411523 112947417 154019205 188245695 338842251 462057615 564737085 1016526753 1694211255 5082633765