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29028510048 = 2536719123629
BaseRepresentation
bin11011000010001110…
…111110100101100000
32202221001021002200210
4123002032332211200
5433422244310143
621200245414120
72045232156426
oct330216764540
982831232623
1029028510048
111134692327a
12576170a340
13297802a985
1415953dd116
15b4d6ca033
hex6c23be960

29028510048 has 96 divisors (see below), whose sum is σ = 77745346560. Its totient is φ = 9481443840.

The previous prime is 29028510041. The next prime is 29028510053. The reversal of 29028510048 is 84001582092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 29028509988 and 29028510015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29028510041) 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, 1216698 + ... + 1240326.

It is an arithmetic number, because the mean of its divisors is an integer number (809847360).

Almost surely, 229028510048 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 29028510048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38872673280).

29028510048 is an abundant number, since it is smaller than the sum of its proper divisors (48716836512).

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

29028510048 is a wasteful number, since it uses less digits than its factorization.

29028510048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23900 (or 23892 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 29028510048 in words is "twenty-nine billion, twenty-eight million, five hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 191 201 268 382 402 536 573 764 804 1072 1146 1528 1608 2144 2292 3056 3216 4584 6112 6432 9168 12797 18336 23629 25594 38391 47258 51188 70887 76782 94516 102376 141774 153564 189032 204752 283548 307128 378064 409504 567096 614256 756128 1134192 1228512 1583143 2268384 3166286 4513139 4749429 6332572 9026278 9498858 12665144 13539417 18052556 18997716 25330288 27078834 36105112 37995432 50660576 54157668 72210224 75990864 108315336 144420448 151981728 216630672 302380313 433261344 604760626 907140939 1209521252 1814281878 2419042504 3628563756 4838085008 7257127512 9676170016 14514255024 29028510048