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10243301426463 = 3723137155339119
BaseRepresentation
bin1001010100001111010001…
…0101111100010100011111
31100021020202021210022112110
42111003310111330110133
52320311240131121323
633441412511005103
72105024362345200
oct225036425742437
940236667708473
1010243301426463
11329a183681886
121195278b09793
13593c294bb621
14275ac80495a7
1512b6b9b34793
hex950f457c51f

10243301426463 has 96 divisors (see below), whose sum is σ = 16854593495040. Its totient is φ = 5507714257920.

The previous prime is 10243301426429. The next prime is 10243301426503. The reversal of 10243301426463 is 36462410334201.

It is not a de Polignac number, because 10243301426463 - 26 = 10243301426399 is a prime.

It is a super-2 number, since 2×102433014264632 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243301426863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261830218 + ... + 261869336.

It is an arithmetic number, because the mean of its divisors is an integer number (175568682240).

Almost surely, 210243301426463 is an apocalyptic number.

10243301426463 is a deficient number, since it is larger than the sum of its proper divisors (6611292068577).

10243301426463 is a wasteful number, since it uses less digits than its factorization.

10243301426463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40757 (or 40750 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 10243301426463 in words is "ten trillion, two hundred forty-three billion, three hundred one million, four hundred twenty-six thousand, four hundred sixty-three".

Divisors: 1 3 7 21 31 37 49 93 111 147 217 259 651 777 1147 1519 1553 1813 3441 4557 4659 5439 8029 10871 24087 32613 39119 48143 56203 57461 76097 117357 144429 168609 172383 228291 273833 337001 402227 821499 1011003 1206681 1212689 1447403 1781291 1916831 2359007 2815589 3638067 4342209 5343873 5750493 7077021 8446767 8488823 10131821 12469037 25466469 30395463 37407111 44869493 59421761 60751807 70922747 87283259 134608479 178265283 182255421 212768241 261849777 314086451 425262649 942259353 1275787947 1883306017 2198605157 2247816859 2976838543 5649918051 6595815471 6743450577 8930515629 13183142119 15734718013 39549426357 47204154039 69682322629 92281994833 110143026091 209046967887 276845984499 330429078273 487776258403 1463328775209 3414433808821 10243301426463