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42523130250 = 2335323273901
BaseRepresentation
bin100111100110100100…
…110111100110001010
311001202111202211112000
4213212210313212022
51144041410132000
631311310131430
73033522433446
oct474644674612
9131674684460
1042523130250
1117041220157
1282a8ab0b76
134018a1cb43
1420b571d826
15118d281000
hex9e693798a

42523130250 has 128 divisors (see below), whose sum is σ = 123058690560. Its totient is φ = 10846440000.

The previous prime is 42523130203. The next prime is 42523130269. The reversal of 42523130250 is 5203132524.

It is a happy number.

42523130250 is a `hidden beast` number, since 4 + 2 + 523 + 130 + 2 + 5 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 18300 + ... + 292200.

It is an arithmetic number, because the mean of its divisors is an integer number (961396020).

Almost surely, 242523130250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42523130250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61529345280).

42523130250 is an abundant number, since it is smaller than the sum of its proper divisors (80535560310).

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

42523130250 is a wasteful number, since it uses less digits than its factorization.

42523130250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273950 (or 273934 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 42523130250 its reverse (5203132524), we get a palindrome (47726262774).

The spelling of 42523130250 in words is "forty-two billion, five hundred twenty-three million, one hundred thirty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 125 135 138 150 207 225 230 250 270 345 375 414 450 575 621 675 690 750 1035 1125 1150 1242 1350 1725 2070 2250 2875 3105 3375 3450 5175 5750 6210 6750 8625 10350 15525 17250 25875 31050 51750 77625 155250 273901 547802 821703 1369505 1643406 2465109 2739010 4108515 4930218 6299723 6847525 7395327 8217030 12325545 12599446 13695050 14790654 18899169 20542575 24651090 31498615 34237625 36976635 37798338 41085150 56697507 61627725 62997230 68475250 73953270 94495845 102712875 113395014 123255450 157493075 170092521 184883175 188991690 205425750 283487535 308138625 314986150 340185042 369766350 472479225 566975070 616277250 787465375 850462605 924415875 944958450 1417437675 1574930750 1700925210 1848831750 2362396125 2834875350 4252313025 4724792250 7087188375 8504626050 14174376750 21261565125 42523130250