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258203434602630 = 235111967361189853
BaseRepresentation
bin111010101101010110101011…
…111111111101000010000110
31020212020000012022021022010210
4322231112223333331002012
5232320401113224241010
62313053004220300250
7105246403545455016
oct7255265377750206
91225200168238123
10258203434602630
11752a9509535640
1224b6167b9a1686
13b10c630344c0a
1447a9181ba5c46
151ecb6e58c8b20
hexead5abffd086

258203434602630 has 128 divisors (see below), whose sum is σ = 712661096378880. Its totient is φ = 59212195983360.

The previous prime is 258203434602623. The next prime is 258203434602637. The reversal of 258203434602630 is 36206434302852.

It is an interprime number because it is at equal distance from previous prime (258203434602623) and next prime (258203434602637).

It is a self number, because there is not a number n which added to its sum of digits gives 258203434602630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258203434602637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26375217 + ... + 34814636.

It is an arithmetic number, because the mean of its divisors is an integer number (5567664815460).

Almost surely, 2258203434602630 is an apocalyptic number.

258203434602630 is an abundant number, since it is smaller than the sum of its proper divisors (454457661776250).

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

258203434602630 is a wasteful number, since it uses less digits than its factorization.

258203434602630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61190566.

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 258203434602630 in words is "two hundred fifty-eight trillion, two hundred three billion, four hundred thirty-four million, six hundred two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 673 1045 1254 1346 2019 2090 3135 3365 4038 6270 6730 7403 10095 12787 14806 20190 22209 25574 37015 38361 44418 63935 74030 76722 111045 127870 140657 191805 222090 281314 383610 421971 703285 843942 1406570 2109855 4219710 61189853 122379706 183569559 305949265 367139118 611898530 673088383 917847795 1162607207 1346176766 1835695590 2019265149 2325214414 3365441915 3487821621 4038530298 5813036035 6730883830 6975643242 10096325745 11626072070 12788679277 17439108105 20192651490 25577358554 34878216210 38366037831 41180771069 63943396385 76732075662 82361542138 123542313207 127886792770 191830189155 205903855345 247084626414 383660378310 411807710690 452988481759 617711566035 782434650311 905976963518 1235423132070 1358965445277 1564869300622 2264942408795 2347303950933 2717930890554 3912173251555 4529884817590 4694607901866 6794827226385 7824346503110 8606781153421 11736519754665 13589654452770 17213562306842 23473039509330 25820343460263 43033905767105 51640686920526 86067811534210 129101717301315 258203434602630