Search a number
-
+
29085928000 = 265321117231
BaseRepresentation
bin11011000101101010…
…000000101001000000
32210002001022020022121
4123011222000221000
5434031444144000
621210100214024
72046530210623
oct330552005100
983061266277
1029085928000
1111376280228
12577899a314
132986bb25ac
14159cca7dba
15b5376cb1a
hex6c5a80a40

29085928000 has 112 divisors (see below), whose sum is σ = 72376881408. Its totient is φ = 11578560000.

The previous prime is 29085927979. The next prime is 29085928007. The reversal of 29085928000 is 82958092.

It is not an unprimeable number, because it can be changed into a prime (29085928007) 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, 1679385 + ... + 1696615.

Almost surely, 229085928000 is an apocalyptic number.

29085928000 is a gapful number since it is divisible by the number (20) 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 29085928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36188440704).

29085928000 is an abundant number, since it is smaller than the sum of its proper divisors (43290953408).

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

29085928000 is a wasteful number, since it uses less digits than its factorization.

29085928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17469 (or 17449 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 29085928000 in words is "twenty-nine billion, eighty-five million, nine hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 211 250 320 400 422 500 800 844 1000 1055 1600 1688 2000 2110 3376 4000 4220 5275 6752 8000 8440 10550 13504 16880 17231 21100 26375 33760 34462 42200 52750 67520 68924 84400 86155 105500 137848 168800 172310 211000 275696 337600 344620 422000 430775 551392 689240 844000 861550 1102784 1378480 1688000 1723100 2153875 2756960 3446200 3635741 4307750 5513920 6892400 7271482 8615500 13784800 14542964 17231000 18178705 27569600 29085928 34462000 36357410 58171856 68924000 72714820 90893525 116343712 137848000 145429640 181787050 232687424 290859280 363574100 454467625 581718560 727148200 908935250 1163437120 1454296400 1817870500 2908592800 3635741000 5817185600 7271482000 14542964000 29085928000