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29867443684 = 22132174232
BaseRepresentation
bin11011110100001111…
…010000010111100100
32212002111212100021221
4123310033100113210
5442132031144214
621415414550124
72105100040201
oct336417202744
985074770257
1029867443684
1111737436561
125956668344
132a7ca92c00
1416349c0ca8
15b9c192e24
hex6f43d05e4

29867443684 has 135 divisors (see below), whose sum is σ = 62863503213. Its totient is φ = 12410002176.

The previous prime is 29867443673. The next prime is 29867443721. The reversal of 29867443684 is 48634476892.

It is a happy number.

The square root of 29867443684 is 172822.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9110702500 + 20756741184 = 95450^2 + 144072^2 .

It is a super-2 number, since 2×298674436842 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (55738368) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1298584497 + ... + 1298584519.

Almost surely, 229867443684 is an apocalyptic number.

29867443684 is the 172822-nd square number.

It is an amenable number.

29867443684 is an abundant number, since it is smaller than the sum of its proper divisors (32996059529).

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

29867443684 is an equidigital number, since it uses as much as digits as its factorization.

29867443684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 55 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 61.

The spelling of 29867443684 in words is "twenty-nine billion, eight hundred sixty-seven million, four hundred forty-three thousand, six hundred eighty-four".

Divisors: 1 2 4 13 17 23 26 34 46 52 68 92 169 221 289 299 338 391 442 529 578 598 676 782 884 1058 1156 1196 1564 2116 2873 3757 3887 4913 5083 5746 6647 6877 7514 7774 8993 9826 10166 11492 13294 13754 15028 15548 17986 19652 20332 26588 27508 35972 48841 63869 66079 83521 86411 89401 97682 112999 116909 127738 132158 152881 167042 172822 178802 195364 225998 233818 255476 264316 305762 334084 345644 357604 451996 467636 611524 830297 1085773 1123343 1468987 1519817 1660594 1920983 1987453 2171546 2246686 2598977 2937974 3039634 3321188 3841966 3974906 4343092 4493372 5197954 5875948 6079268 7683932 7949812 10395908 14115049 19096831 24972779 25836889 28230098 33786701 38193662 44182609 49945558 51673778 56460196 67573402 76387324 88365218 99891116 103347556 135146804 176730436 324646127 439227113 574373917 649292254 878454226 1148747834 1298584508 1756908452 2297495668 7466860921 14933721842 29867443684