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29359334004 = 223711213222197
BaseRepresentation
bin11011010101111100…
…111110001001110100
32210210002202200211220
4123111330332021310
5440111442142004
621253144230340
72056360135650
oct332574761164
983702680756
1029359334004
11114a6640200
12583446b3b0
1329cb72b7b0
1415c7317a60
15b6c776dd9
hex6d5f3e274

29359334004 has 144 divisors (see below), whose sum is σ = 92676119424. Its totient is φ = 7039169280.

The previous prime is 29359334003. The next prime is 29359334027. The reversal of 29359334004 is 40043395392.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29359334003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21034 + ... + 243230.

Almost surely, 229359334004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29359334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46338059712).

29359334004 is an abundant number, since it is smaller than the sum of its proper divisors (63316785420).

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

29359334004 is a wasteful number, since it uses less digits than its factorization.

29359334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222246 (or 222233 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

It can be divided in two parts, 29359 and 334004, that added together give a palindrome (363363).

The spelling of 29359334004 in words is "twenty-nine billion, three hundred fifty-nine million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 121 132 143 154 156 182 231 242 273 286 308 363 364 429 462 484 546 572 726 847 858 924 1001 1092 1452 1573 1694 1716 2002 2541 3003 3146 3388 4004 4719 5082 6006 6292 9438 10164 11011 12012 18876 22022 33033 44044 66066 132132 222197 444394 666591 888788 1333182 1555379 2444167 2666364 2888561 3110758 4666137 4888334 5777122 6221516 7332501 8665683 9332274 9776668 11554244 14665002 17109169 17331366 18664548 20219927 26885837 29330004 31774171 34218338 34662732 40439854 51327507 53771674 60659781 63548342 68436676 80657511 80879708 95322513 102655014 107543348 121319562 127096684 161315022 188200859 190645026 205310028 222419197 242639124 322630044 349515881 376401718 381290052 444838394 564602577 667257591 699031762 752803436 889676788 1048547643 1129205154 1334515182 1398063524 2097095286 2258410308 2446611167 2669030364 4194190572 4893222334 7339833501 9786444668 14679667002 29359334004