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29427161856 = 283233164449
BaseRepresentation
bin11011011001111111…
…101101101100000000
32210221211101201011120
4123121333231230000
5440231323134411
621304010112240
72061142514541
oct333177555400
983854351146
1029427161856
1111530958284
12585311b680
132a0c7b9711
1415d23324c8
15b736c4106
hex6d9fedb00

29427161856 has 72 divisors (see below), whose sum is σ = 78655777200. Its totient is φ = 9766895616.

The previous prime is 29427161849. The next prime is 29427161887. The reversal of 29427161856 is 65816172492.

It is a junction number, because it is equal to n+sod(n) for n = 29427161799 and 29427161808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96720 + ... + 261168.

It is an arithmetic number, because the mean of its divisors is an integer number (1092441350).

Almost surely, 229427161856 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 29427161856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39327888600).

29427161856 is an abundant number, since it is smaller than the sum of its proper divisors (49228615344).

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

29427161856 is a wasteful number, since it uses less digits than its factorization.

29427161856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164701 (or 164687 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 29427161856 in words is "twenty-nine billion, four hundred twenty-seven million, one hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 384 466 699 768 932 1398 1864 2796 3728 5592 7456 11184 14912 22368 29824 44736 59648 89472 164449 178944 328898 493347 657796 986694 1315592 1973388 2631184 3946776 5262368 7893552 10524736 15787104 21049472 31574208 38316617 42098944 63148416 76633234 114949851 126296832 153266468 229899702 306532936 459799404 613065872 919598808 1226131744 1839197616 2452263488 3678395232 4904526976 7356790464 9809053952 14713580928 29427161856