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30806416755 = 32567151157431
BaseRepresentation
bin11100101100001101…
…001001110101110011
32221111221201010012100
4130230031021311303
51001042420314010
622052520231443
72140261136052
oct345415116563
987457633170
1030806416755
1112079467964
125b7900b583
132b9c48388a
1416c35a4399
15c0481c2c0
hex72c349d73

30806416755 has 96 divisors (see below), whose sum is σ = 55028533248. Its totient is φ = 15938208000.

The previous prime is 30806416721. The next prime is 30806416787. The reversal of 30806416755 is 55761460803.

It is not a de Polignac number, because 30806416755 - 26 = 30806416691 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 30806416755.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71476390 + ... + 71476820.

It is an arithmetic number, because the mean of its divisors is an integer number (573213888).

Almost surely, 230806416755 is an apocalyptic number.

30806416755 is a deficient number, since it is larger than the sum of its proper divisors (24222116493).

30806416755 is a wasteful number, since it uses less digits than its factorization.

30806416755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 30806 and 416755, that added together give a square (447561 = 6692).

The spelling of 30806416755 in words is "thirty billion, eight hundred six million, four hundred sixteen thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 45 67 151 157 201 335 431 453 471 603 755 785 1005 1293 1359 1413 2155 2265 2355 3015 3879 6465 6795 7065 10117 10519 19395 23707 28877 30351 31557 50585 52595 65081 67667 71121 86631 91053 94671 118535 144385 151755 157785 195243 203001 213363 259893 325405 338335 355605 433155 455265 473355 585729 609003 976215 1015005 1066815 1299465 1588369 2928645 3045015 4360427 4533689 4765107 7941845 10217717 13081281 13601067 14295321 21802135 22668445 23825535 30653151 39243843 40803201 51088585 65406405 68005335 71476605 91959453 153265755 196219215 204016005 459797265 684587039 2053761117 3422935195 6161283351 10268805585 30806416755