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29232332272 = 24111337334253
BaseRepresentation
bin11011001110011000…
…011111110111110000
32210110020210100020001
4123032120133313300
5434331434113042
621232410155344
72053255503343
oct331630376760
983406710201
1029232332272
11114409869a0
1257b9a22b54
1329ab322940
1415b44d845a
15b6153bbb7
hex6ce61fdf0

29232332272 has 80 divisors (see below), whose sum is σ = 66719667168. Its totient is φ = 12232074240.

The previous prime is 29232332263. The next prime is 29232332293. The reversal of 29232332272 is 27223323292.

It is a super-2 number, since 2×292323322722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836298 + ... + 870550.

Almost surely, 229232332272 is an apocalyptic number.

29232332272 is a gapful number since it is divisible by the number (22) 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 29232332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33359833584).

29232332272 is an abundant number, since it is smaller than the sum of its proper divisors (37487334896).

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

29232332272 is a wasteful number, since it uses less digits than its factorization.

29232332272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34658 (or 34652 counting only the distinct ones).

The product of its digits is 108864, while the sum is 37.

The spelling of 29232332272 in words is "twenty-nine billion, two hundred thirty-two million, three hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 373 572 746 1144 1492 2288 2984 4103 4849 5968 8206 9698 16412 19396 32824 34253 38792 53339 65648 68506 77584 106678 137012 213356 274024 376783 426712 445289 548048 753566 853424 890578 1507132 1781156 3014264 3562312 4898179 6028528 7124624 9796358 12776369 19592716 25552738 39185432 51105476 78370864 102210952 140540059 166092797 204421904 281080118 332185594 562160236 664371188 1124320472 1328742376 1827020767 2248640944 2657484752 3654041534 7308083068 14616166136 29232332272