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29133060048 = 24357994849
BaseRepresentation
bin11011001000011101…
…110011011111010000
32210012022222210100000
4123020131303133100
5434131030410143
621214502330000
72050641632061
oct331035633720
983168883300
1029133060048
111139a942234
125790729900
1329938a5491
1415a5256568
15b5797cbd3
hex6c87737d0

29133060048 has 120 divisors (see below), whose sum is σ = 85622992000. Its totient is φ = 9587994624.

The previous prime is 29133060041. The next prime is 29133060053. The reversal of 29133060048 is 84006033192.

29133060048 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 3 + 0 + 600 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29133059994 and 29133060021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29133060041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259728 + ... + 354576.

Almost surely, 229133060048 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 29133060048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42811496000).

29133060048 is an abundant number, since it is smaller than the sum of its proper divisors (56489931952).

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

29133060048 is an equidigital number, since it uses as much as digits as its factorization.

29133060048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94951 (or 94933 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 29133060048 in words is "twenty-nine billion, one hundred thirty-three million, sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 243 316 324 432 474 486 632 648 711 948 972 1264 1296 1422 1896 1944 2133 2844 3792 3888 4266 5688 6399 8532 11376 12798 17064 19197 25596 34128 38394 51192 76788 94849 102384 153576 189698 284547 307152 379396 569094 758792 853641 1138188 1517584 1707282 2276376 2560923 3414564 4552752 5121846 6829128 7493071 7682769 10243692 13658256 14986142 15365538 20487384 22479213 23048307 29972284 30731076 40974768 44958426 46096614 59944568 61462152 67437639 89916852 92193228 119889136 122924304 134875278 179833704 184386456 202312917 269750556 359667408 368772912 404625834 539501112 606938751 809251668 1079002224 1213877502 1618503336 1820816253 2427755004 3237006672 3641632506 4855510008 7283265012 9711020016 14566530024 29133060048