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29312921088 = 293311192767
BaseRepresentation
bin11011010011001011…
…111010111000000000
32210122212102200022000
4123103023322320000
5440013101433323
621244405344000
72055254501223
oct332313727000
983585380260
1029312921088
111148241a520
125820a08000
1329c1c2b029
1415c10b55ba
15b68659e43
hex6d32fae00

29312921088 has 160 divisors (see below), whose sum is σ = 94656798720. Its totient is φ = 8882657280.

The previous prime is 29312921087. The next prime is 29312921093. The reversal of 29312921088 is 88012921392.

It is a happy number.

It is a super-2 number, since 2×293129210882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29312921083) by changing a digit.

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, 55681 + ... + 248447.

It is an arithmetic number, because the mean of its divisors is an integer number (591604992).

Almost surely, 229312921088 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 29312921088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47328399360).

29312921088 is an abundant number, since it is smaller than the sum of its proper divisors (65343877632).

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

29312921088 is a wasteful number, since it uses less digits than its factorization.

29312921088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192805 (or 192783 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 29312921088 in words is "twenty-nine billion, three hundred twelve million, nine hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064 192767 385534 578301 771068 1156602 1542136 1734903 2120437 2313204 3084272 3469806 4240874 4626408 5204709 6168544 6361311 6939612 8481748 9252816 10409418 12337088 12722622 13879224 16963496 18505632 19083933 20818836 24674176 25445244 27758448 33926992 37011264 38167866 41637672 49348352 50890488 55516896 57251799 67853984 74022528 76335732 83275344 98696704 101780976 111033792 114503598 135707968 148045056 152671464 166550688 203561952 222067584 229007196 271415936 296090112 305342928 333101376 407123904 444135168 458014392 542831872 610685856 666202752 814247808 888270336 916028784 1085663744 1221371712 1332405504 1628495616 1832057568 2442743424 2664811008 3256991232 3664115136 4885486848 7328230272 9770973696 14656460544 29312921088