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29844291834 = 2337377927011
BaseRepresentation
bin11011110010110110…
…111100000011111010
32212000220022002221000
4123302312330003322
5442110114314314
621413230425430
72104366203120
oct336266740372
985026262830
1029844291834
11117253631a5
12594a962276
132a78047ca6
1416318b5910
15b9a11d209
hex6f2dbc0fa

29844291834 has 128 divisors (see below), whose sum is σ = 78831820800. Its totient is φ = 8191160640.

The previous prime is 29844291833. The next prime is 29844291859. The reversal of 29844291834 is 43819244892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29844291833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091389 + ... + 1118399.

It is an arithmetic number, because the mean of its divisors is an integer number (615873600).

Almost surely, 229844291834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29844291834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39415910400).

29844291834 is an abundant number, since it is smaller than the sum of its proper divisors (48987528966).

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

29844291834 is a wasteful number, since it uses less digits than its factorization.

29844291834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145 (or 27139 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 29844291834 in words is "twenty-nine billion, eight hundred forty-four million, two hundred ninety-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 79 111 126 158 189 222 237 259 333 378 474 518 553 666 711 777 999 1106 1422 1554 1659 1998 2133 2331 2923 3318 4266 4662 4977 5846 6993 8769 9954 13986 14931 17538 20461 26307 27011 29862 40922 52614 54022 61383 78921 81033 122766 157842 162066 184149 189077 243099 368298 378154 486198 552447 567231 729297 999407 1104894 1134462 1458594 1701693 1998814 2133869 2998221 3403386 4267738 5105079 5996442 6401607 6995849 8994663 10210158 12803214 13991698 14937083 17989326 19204821 20987547 26983989 29874166 38409642 41975094 44811249 53967978 57614463 62962641 78953153 89622498 115228926 125925282 134433747 157906306 188887923 236859459 268867494 377775846 403301241 473718918 552672071 710578377 806602482 1105344142 1421156754 1658016213 2131735131 3316032426 4263470262 4974048639 9948097278 14922145917 29844291834