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2550130506 = 233711719853
BaseRepresentation
bin1001011111111111…
…1110011101001010
320120201112001102000
42113333332131022
520210313134011
61101014051430
7120123515550
oct22777763512
96521461360
102550130506
111099533880
125b2049b76
13318432081
141a297dbd0
15edd2e356
hex97ffe74a

2550130506 has 128 divisors (see below), whose sum is σ = 7083417600. Its totient is φ = 660674880.

The previous prime is 2550130477. The next prime is 2550130519. The reversal of 2550130506 is 6050310552.

2550130506 is a `hidden beast` number, since 25 + 5 + 0 + 130 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2550130506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2989176 + ... + 2990028.

It is an arithmetic number, because the mean of its divisors is an integer number (55339200).

Almost surely, 22550130506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2550130506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541708800).

2550130506 is an abundant number, since it is smaller than the sum of its proper divisors (4533287094).

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

2550130506 is a wasteful number, since it uses less digits than its factorization.

2550130506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2550130506 is about 50498.8168772299. The cubic root of 2550130506 is about 1366.2205144382.

The spelling of 2550130506 in words is "two billion, five hundred fifty million, one hundred thirty thousand, five hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 719 853 1386 1438 1706 2079 2157 2559 4158 4314 5033 5118 5971 6471 7677 7909 9383 10066 11942 12942 15099 15354 15818 17913 18766 19413 23031 23727 28149 30198 35826 38826 45297 46062 47454 53739 55363 56298 65681 71181 84447 90594 107478 110726 131362 135891 142362 161217 166089 168894 197043 213543 253341 271782 322434 332178 394086 427086 498267 506682 591129 613307 996534 1182258 1226614 1494801 1773387 1839921 2989602 3546774 3679842 4293149 5519763 6746377 8586298 11039526 12879447 13492754 16559289 20239131 25758894 33118578 38638341 40478262 47224639 60717393 77276682 94449278 115915023 121434786 141673917 182152179 231830046 283347834 364304358 425021751 850043502 1275065253 2550130506