Search a number
-
+
295528000130 = 251119478533527
BaseRepresentation
bin1000100110011101101…
…01110110101010000010
31001020210212001220012022
410103032311312222002
514320220132001010
6343432542401442
730231313361006
oct4231665665202
91036725056168
10295528000130
11104372940640
1249337890282
1321b394a9a3c
1410437244706
157a49ca1d55
hex44ced76a82

295528000130 has 128 divisors (see below), whose sum is σ = 624757432320. Its totient is φ = 99497514240.

The previous prime is 295528000121. The next prime is 295528000133. The reversal of 295528000130 is 31000825592.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (295528000133) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 83788427 + ... + 83791953.

It is an arithmetic number, because the mean of its divisors is an integer number (4880917440).

Almost surely, 2295528000130 is an apocalyptic number.

295528000130 is an abundant number, since it is smaller than the sum of its proper divisors (329229432190).

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

295528000130 is a wasteful number, since it uses less digits than its factorization.

With its successor (295528000131) it forms an eRAP, since the sums of their prime factors are consecutive (4464 and 4465).

295528000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 295528000130 in words is "two hundred ninety-five billion, five hundred twenty-eight million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 10 11 19 22 38 47 55 94 95 110 190 209 235 418 470 517 853 893 1034 1045 1706 1786 2090 2585 3527 4265 4465 5170 7054 8530 8930 9383 9823 16207 17635 18766 19646 32414 35270 38797 40091 46915 49115 67013 77594 80182 81035 93830 98230 134026 162070 165769 178277 193985 200455 331538 335065 356554 387970 400910 441001 670130 737143 761729 828845 882002 891385 1474286 1523458 1657690 1782770 1823459 2205005 3008531 3149611 3646918 3685715 3808645 4410010 6017062 6299222 7371430 7617290 8379019 9117295 15042655 15748055 16758038 18234590 30085310 31496110 33093841 34645721 41895095 57162089 66187682 69291442 83790190 114324178 141400957 165469205 173228605 282801914 285810445 330938410 346457210 571620890 628782979 707004785 1257565958 1414009570 1555410527 2686618183 3110821054 3143914895 5373236366 6287829790 7777052635 13433090915 15554105270 26866181830 29552800013 59105600026 147764000065 295528000130