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42819758050953 = 31323899722692437
BaseRepresentation
bin10011011110001110000000…
…11101111100111010001001
312121121112021120011120211010
421233013000131330322021
521103024331030112303
6231023043021154133
712006424344026652
oct1157070035747211
9177545246146733
1042819758050953
1112709837124784
12497690a3bb949
131ab7b692cc0c0
14a806b73d4529
154e3c908b3c03
hex26f1c077ce89

42819758050953 has 128 divisors (see below), whose sum is σ = 65603560780800. Its totient is φ = 24643827597312.

The previous prime is 42819758050837. The next prime is 42819758051041. The reversal of 42819758050953 is 35905085791824.

It is not a de Polignac number, because 42819758050953 - 28 = 42819758050697 is a prime.

It is a super-2 number, since 2×428197580509532 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42819758051953) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17570683251 + ... + 17570685687.

It is an arithmetic number, because the mean of its divisors is an integer number (512527818600).

Almost surely, 242819758050953 is an apocalyptic number.

It is an amenable number.

42819758050953 is a deficient number, since it is larger than the sum of its proper divisors (22783802729847).

42819758050953 is a wasteful number, since it uses less digits than its factorization.

42819758050953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931.

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 42819758050953 in words is "forty-two trillion, eight hundred nineteen billion, seven hundred fifty-eight million, fifty thousand, nine hundred fifty-three".

Divisors: 1 3 13 23 39 69 89 97 267 291 299 897 1157 1261 2047 2231 2269 2437 3471 3783 6141 6693 6807 7311 8633 25899 26611 29003 29497 31681 52187 56051 79833 87009 88491 95043 112229 156561 168153 198559 201941 216893 220093 236389 336687 595677 605823 650679 660279 678431 709167 728663 2035293 2185989 2581267 2625233 2819609 2861209 3073057 4644643 4988539 5062139 5436947 5529553 7743801 7875699 8458827 8583627 9219171 13933929 14965617 15186417 16310841 16588659 19588277 21038621 58764831 60380359 63115863 64851007 65807807 70680311 71884189 127179719 181141077 194553021 197423421 212040933 215652567 254647601 273502073 381539157 450530371 483888283 492130217 536366641 763942803 820506219 1351591113 1451664849 1476390651 1609099923 1653336347 4960009041 5856894823 6290547679 6397692821 6972766333 11318994991 12336432743 17570684469 18871643037 19193078463 20918298999 33956984973 37009298229 47736631049 143209893147 147146934883 160373625659 441440804649 481120876977 620576203637 1097942514127 1861728610911 3293827542381 14273252683651 42819758050953