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29216080440 = 23325731111723
BaseRepresentation
bin11011001101011010…
…100000001000111000
32210102010012122220100
4123031122200020320
5434313304033230
621231025555400
72053000405041
oct331532401070
983363178810
1029216080440
1111432796728
1257b44a5b60
1329a7b52581
1415b22a78c8
15b5edcb660
hex6cd6a0238

29216080440 has 96 divisors (see below), whose sum is σ = 96253063920. Its totient is φ = 7684222464.

The previous prime is 29216080393. The next prime is 29216080447. The reversal of 29216080440 is 4408061292.

29216080440 is a `hidden beast` number, since 2 + 9 + 2 + 1 + 608 + 0 + 4 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29216080395 and 29216080404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29216080447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529582 + ... + 582141.

Almost surely, 229216080440 is an apocalyptic number.

29216080440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29216080440 is an abundant number, since it is smaller than the sum of its proper divisors (67036983480).

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

29216080440 is a wasteful number, since it uses less digits than its factorization.

29216080440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111813 (or 1111806 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 29216080440 in words is "twenty-nine billion, two hundred sixteen million, eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 1111723 2223446 3335169 4446892 5558615 6670338 8893784 10005507 11117230 13340676 16675845 20011014 22234460 26681352 33351690 40022028 44468920 50027535 66703380 80044056 81155779 100055070 133406760 162311558 200110140 243467337 324623116 400220280 405778895 486934674 649246232 730402011 811557790 973869348 1217336685 1460804022 1623115580 1947738696 2434673370 2921608044 3246231160 3652010055 4869346740 5843216088 7304020110 9738693480 14608040220 29216080440