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29955303098955 = 32513219415056349
BaseRepresentation
bin1101100111110100000110…
…01100110100101001001011
310221001200212120120221000200
412303322003030310221023
512411241430043131310
6143413135401303243
76211125223115313
oct663720314645113
9127050776527020
1029955303098955
1195a9a77736813
123439656494b23
131393a08272600
14757bb709a443
1536e315cac9c0
hex1b3e83334a4b

29955303098955 has 144 divisors (see below), whose sum is σ = 60626445516000. Its totient is φ = 13630296176640.

The previous prime is 29955303098863. The next prime is 29955303098957. The reversal of 29955303098955 is 55989030355992.

29955303098955 is a `hidden beast` number, since 2 + 9 + 9 + 5 + 530 + 3 + 0 + 9 + 89 + 5 + 5 = 666.

It is not a de Polignac number, because 29955303098955 - 212 = 29955303094859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29955303098957) 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 143 ways as a sum of consecutive naturals, for example, 3396121 + ... + 8452469.

It is an arithmetic number, because the mean of its divisors is an integer number (421016982750).

Almost surely, 229955303098955 is an apocalyptic number.

29955303098955 is an abundant number, since it is smaller than the sum of its proper divisors (30671142417045).

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

29955303098955 is a wasteful number, since it uses less digits than its factorization.

29955303098955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056446 (or 5056430 counting only the distinct ones).

The product of its (nonzero) digits is 590490000, while the sum is 72.

The spelling of 29955303098955 in words is "twenty-nine trillion, nine hundred fifty-five billion, three hundred three million, ninety-eight thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 13 15 19 39 41 45 57 65 95 117 123 169 171 195 205 247 285 369 507 533 585 615 741 779 845 855 1235 1521 1599 1845 2223 2337 2535 2665 3211 3705 3895 4797 6929 7011 7605 7995 9633 10127 11115 11685 16055 20787 23985 28899 30381 34645 35055 48165 50635 62361 91143 103935 131651 144495 151905 311805 394953 455715 658255 1184859 1974765 5056349 5924295 15169047 25281745 45507141 65732537 75845235 96070631 197197611 207310309 227535705 288211893 328662685 480353155 591592833 621930927 854522981 864635679 985988055 1036551545 1248918203 1441059465 1865792781 2563568943 2695034017 2957964165 3109654635 3746754609 3938895871 4272614905 4323178395 6244591015 7690706829 8085102051 9328963905 11240263827 11816687613 12817844715 13475170085 16235936639 18733773045 19694479355 24255306153 35035442221 35450062839 38453534145 40425510255 48707809917 51205646323 56201319135 59083438065 81179683195 105106326663 121276530765 146123429751 153616938969 175177211105 177250314195 243539049585 256028231615 315318979989 460850816907 525531633315 665673402199 730617148755 768084694845 1576594899945 1997020206597 2304254084535 3328367010995 5991060619791 9985101032985 29955303098955