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29360857856 = 281132292
BaseRepresentation
bin11011010110000010…
…110010001100000000
32210210012122010011212
4123112002302030000
5440112334422411
621253241025252
72056406113451
oct332602621400
983705563155
1029360857856
11114a7491090
125834a85228
1329cbb43295
1415c75d3128
15b6c97868b
hex6d60b2300

29360857856 has 54 divisors (see below), whose sum is σ = 63954742572. Its totient is φ = 13341711360.

The previous prime is 29360857829. The next prime is 29360857859. The reversal of 29360857856 is 65875806392.

It is a junction number, because it is equal to n+sod(n) for n = 29360857795 and 29360857804.

It is not an unprimeable number, because it can be changed into a prime (29360857859) 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 5 ways as a sum of consecutive naturals, for example, 9091250 + ... + 9094478.

Almost surely, 229360857856 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 29360857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31977371286).

29360857856 is an abundant number, since it is smaller than the sum of its proper divisors (34593884716).

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

29360857856 is an frugal number, since it uses more digits than its factorization.

29360857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 59.

The spelling of 29360857856 in words is "twenty-nine billion, three hundred sixty million, eight hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3229 6458 12916 25832 35519 51664 71038 103328 142076 206656 284152 413312 568304 826624 1136608 2273216 4546432 9092864 10426441 20852882 41705764 83411528 114690851 166823056 229381702 333646112 458763404 667292224 917526808 1334584448 1835053616 2669168896 3670107232 7340214464 14680428928 29360857856