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29319257088 = 2103211289213
BaseRepresentation
bin11011010011100100…
…000101110000000000
32210200022100120122200
4123103210011300000
5440021212211323
621245153233200
72055362400432
oct332344056000
983608316580
1029319257088
1111485a57890
125822b62800
1329c3338c44
1415c1c84652
15b68eac443
hex6d3905c00

29319257088 has 132 divisors (see below), whose sum is σ = 92355285048. Its totient is φ = 8884592640.

The previous prime is 29319257087. The next prime is 29319257089. The reversal of 29319257088 is 88075291392.

It is an interprime number because it is at equal distance from previous prime (29319257087) and next prime (29319257089).

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29319257087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43231 + ... + 245982.

Almost surely, 229319257088 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 29319257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46177642524).

29319257088 is an abundant number, since it is smaller than the sum of its proper divisors (63036027960).

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

29319257088 is a wasteful number, since it uses less digits than its factorization.

29319257088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289250 (or 289229 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 29319257088 in words is "twenty-nine billion, three hundred nineteen million, two hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 25344 33792 50688 101376 289213 578426 867639 1156852 1735278 2313704 2602917 3181343 3470556 4627408 5205834 6362686 6941112 9254816 9544029 10411668 12725372 13882224 18509632 19088058 20823336 25450744 27764448 28632087 37019264 38176116 41646672 50901488 55528896 57264174 74038528 76352232 83293344 101802976 111057792 114528348 148077056 152704464 166586688 203605952 222115584 229056696 296154112 305408928 333173376 407211904 444231168 458113392 610817856 666346752 814423808 888462336 916226784 1221635712 1332693504 1628847616 1832453568 2443271424 2665387008 3257695232 3664907136 4886542848 7329814272 9773085696 14659628544 29319257088