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29163903889014 = 2333137597980617
BaseRepresentation
bin1101010000110010000000…
…01000011010111001110110
310211021001010121100120222000
412220121000020122321312
512310310133343422024
6142005413521520130
76100010503613046
oct650310010327166
9124231117316860
1029163903889014
119324384497984
1233301b04a3046
1313371b515042b
1472b77d10d726
15358947adccc9
hex1a864021ae76

29163903889014 has 128 divisors (see below), whose sum is σ = 69871906713600. Its totient is φ = 8998304152320.

The previous prime is 29163903889013. The next prime is 29163903889033. The reversal of 29163903889014 is 41098830936192.

29163903889014 is a `hidden beast` number, since 2 + 9 + 163 + 9 + 0 + 388 + 90 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29163903889013) by changing a digit.

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, 335967 + ... + 7644650.

It is an arithmetic number, because the mean of its divisors is an integer number (545874271200).

Almost surely, 229163903889014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29163903889014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34935953356800).

29163903889014 is an abundant number, since it is smaller than the sum of its proper divisors (40708002824586).

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

29163903889014 is a wasteful number, since it uses less digits than its factorization.

29163903889014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980755 (or 7980749 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 29163903889014 in words is "twenty-nine trillion, one hundred sixty-three billion, nine hundred three million, eight hundred eighty-nine thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 31 37 54 59 62 74 93 111 118 177 186 222 279 333 354 531 558 666 837 999 1062 1147 1593 1674 1829 1998 2183 2294 3186 3441 3658 4366 5487 6549 6882 10323 10974 13098 16461 19647 20646 30969 32922 39294 49383 58941 61938 67673 98766 117882 135346 203019 406038 609057 1218114 1827171 3654342 7980617 15961234 23941851 47883702 71825553 143651106 215476659 247399127 295282829 430953318 470856403 494798254 590565658 742197381 885848487 941712806 1412569209 1484394762 1771696974 2226592143 2657545461 2825138418 4237707627 4453184286 5315090922 6679776429 7972636383 8475415254 9153767699 12713122881 13359552858 14596548493 15945272766 17421686911 18307535398 25426245762 27461303097 29193096986 34843373822 43789645479 52265060733 54922606194 82383909291 87579290958 104530121466 131368936437 156795182199 164767818582 247151727873 262737872874 313590364398 394106809311 470385546597 494303455746 540072294241 788213618622 940771093194 1080144588482 1620216882723 3240433765446 4860650648169 9721301296338 14581951944507 29163903889014