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42269584194 = 232312273071087
BaseRepresentation
bin100111010111011101…
…101010101101000010
311001002211200100201100
4213113131222231002
51143032003143234
631230211515230
73024323352225
oct472735525502
9131084610640
1042269584194
1116a21095262
128237bb8b16
133ca83383a6
14208db9d5bc
151175d9b399
hex9d776ab42

42269584194 has 96 divisors (see below), whose sum is σ = 95351832576. Its totient is φ = 13518614880.

The previous prime is 42269584187. The next prime is 42269584199. The reversal of 42269584194 is 49148596224.

42269584194 is a `hidden beast` number, since 42 + 2 + 6 + 9 + 584 + 19 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42269584194.

It is not an unprimeable number, because it can be changed into a prime (42269584199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38885919 + ... + 38887005.

It is an arithmetic number, because the mean of its divisors is an integer number (993248256).

Almost surely, 242269584194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42269584194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47675916288).

42269584194 is an abundant number, since it is smaller than the sum of its proper divisors (53082248382).

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

42269584194 is a wasteful number, since it uses less digits than its factorization.

42269584194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1657 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 42269584194 in words is "forty-two billion, two hundred sixty-nine million, five hundred eighty-four thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 227 279 307 454 558 614 681 921 1087 1362 1842 2043 2174 2763 3261 4086 5526 6522 7037 9517 9783 14074 19034 19566 21111 28551 33697 42222 57102 63333 67394 69689 85653 101091 126666 139378 171306 202182 209067 246749 303273 333709 418134 493498 606546 627201 667418 740247 1001127 1254402 1480494 2002254 2160359 2220741 3003381 4320718 4441482 6006762 6481077 7649219 10344979 12962154 15298438 19443231 20689958 22947657 31034937 38886462 45895314 62069874 68842971 75751943 93104811 137685942 151503886 186209622 227255829 454511658 681767487 1363534974 2348310233 4696620466 7044930699 14089861398 21134792097 42269584194