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51584555130 = 23571131199929
BaseRepresentation
bin110000000010101011…
…011101100001111010
311221011000102220121220
4300002223131201322
51321121121231010
635410404012510
73504212325003
oct600253354172
9157130386556
1051584555130
111a971155849
129bb7691136
134b31128804
1426d4d641aa
15151da42970
hexc02add87a

51584555130 has 128 divisors (see below), whose sum is σ = 127277568000. Its totient is φ = 13376563200.

The previous prime is 51584555123. The next prime is 51584555137. The reversal of 51584555130 is 3155548515.

It is an interprime number because it is at equal distance from previous prime (51584555123) and next prime (51584555137).

It is not an unprimeable number, because it can be changed into a prime (51584555137) 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 63 ways as a sum of consecutive naturals, for example, 55526506 + ... + 55527434.

It is an arithmetic number, because the mean of its divisors is an integer number (994356000).

Almost surely, 251584555130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51584555130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63638784000).

51584555130 is an abundant number, since it is smaller than the sum of its proper divisors (75693012870).

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

51584555130 is a wasteful number, since it uses less digits than its factorization.

51584555130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340.

The product of its (nonzero) digits is 300000, while the sum is 42.

The spelling of 51584555130 in words is "fifty-one billion, five hundred eighty-four million, five hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 131 142 199 213 262 355 393 398 426 597 655 710 786 929 995 1065 1194 1310 1858 1965 1990 2130 2787 2985 3930 4645 5574 5970 9290 9301 13935 14129 18602 26069 27870 27903 28258 42387 46505 52138 55806 65959 70645 78207 84774 93010 121699 130345 131918 139515 141290 156414 184871 197877 211935 243398 260690 279030 329795 365097 369742 391035 395754 423870 554613 608495 659590 730194 782070 924355 989385 1109226 1216990 1825485 1848710 1850899 1978770 2773065 3650970 3701798 5546130 5552697 8640629 9254495 11105394 13125841 17281258 18508990 24218101 25921887 26251682 27763485 39377523 43203145 48436202 51843774 55526970 65629205 72654303 78755046 86406290 121090505 129609435 131258410 145308606 196887615 242181010 259218870 363271515 393775230 726543030 1719485171 3438970342 5158455513 8597425855 10316911026 17194851710 25792277565 51584555130