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29141869584 = 24323197133993
BaseRepresentation
bin11011001000111111…
…011010010000010000
32210012221120100202010
4123020333122100100
5434140304311314
621215415222520
72051106542622
oct331077322020
983187510663
1029141869584
11113a4909a43
125793677a40
13299566b219
1415a64aac12
15b5861d059
hex6c8fda410

29141869584 has 80 divisors (see below), whose sum is σ = 78955696512. Its totient is φ = 9244376064.

The previous prime is 29141869583. The next prime is 29141869597. The reversal of 29141869584 is 48596814192.

It is not an unprimeable number, because it can be changed into a prime (29141869583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150492 + ... + 284484.

Almost surely, 229141869584 is an apocalyptic number.

29141869584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29141869584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39477848256).

29141869584 is an abundant number, since it is smaller than the sum of its proper divisors (49813826928).

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

29141869584 is a wasteful number, since it uses less digits than its factorization.

29141869584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134224 (or 134218 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The spelling of 29141869584 in words is "twenty-nine billion, one hundred forty-one million, eight hundred sixty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 197 276 368 394 552 591 788 1104 1182 1576 2364 3152 4531 4728 9062 9456 13593 18124 27186 36248 54372 72496 108744 133993 217488 267986 401979 535972 803958 1071944 1607916 2143888 3081839 3215832 6163678 6431664 9245517 12327356 18491034 24654712 26396621 36982068 49309424 52793242 73964136 79189863 105586484 147928272 158379726 211172968 316759452 422345936 607122283 633518904 1214244566 1267037808 1821366849 2428489132 3642733698 4856978264 7285467396 9713956528 14570934792 29141869584