Search a number
-
+
29365236096 = 273730493583
BaseRepresentation
bin11011010110010011…
…011111000110000000
32210210111212112222220
4123112103133012000
5440120000023341
621253514531040
72056461250140
oct332623370600
983714775886
1029365236096
11114a9a01569
125836436a80
1329cca17061
1415c8012920
15b6d040a66
hex6d64df180

29365236096 has 128 divisors (see below), whose sum is σ = 89198592000. Its totient is φ = 8384974848.

The previous prime is 29365236023. The next prime is 29365236101. The reversal of 29365236096 is 69063256392.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8193921 + ... + 8197503.

It is an arithmetic number, because the mean of its divisors is an integer number (696864000).

Almost surely, 229365236096 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 29365236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44599296000).

29365236096 is an abundant number, since it is smaller than the sum of its proper divisors (59833355904).

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

29365236096 is a wasteful number, since it uses less digits than its factorization.

29365236096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 51.

The spelling of 29365236096 in words is "twenty-nine billion, three hundred sixty-five million, two hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 3049 3583 6098 7166 9147 10749 12196 14332 18294 21343 21498 24392 25081 28664 36588 42686 42996 48784 50162 57328 64029 73176 75243 85372 85992 97568 100324 114656 128058 146352 150486 170744 171984 195136 200648 229312 256116 292704 300972 341488 343968 390272 401296 458624 512232 585408 601944 682976 687936 802592 1024464 1170816 1203888 1365952 1375872 1605184 2048928 2407776 2731904 3210368 4097856 4815552 8195712 9631104 10924567 21849134 32773701 43698268 65547402 76471969 87396536 131094804 152943938 174793072 229415907 262189608 305887876 349586144 458831814 524379216 611775752 699172288 917663628 1048758432 1223551504 1398344576 1835327256 2097516864 2447103008 3670654512 4195033728 4894206016 7341309024 9788412032 14682618048 29365236096