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12738058228 = 227337594253
BaseRepresentation
bin10111101110011111…
…10101011111110100
31012212201220101220101
423313033311133310
5202041420330403
65503552443444
7630442465000
oct136717653764
935781811811
1012738058228
115447335755
122575b49584
13128003a97c
1488ba61700
154e845e71d
hex2f73f57f4

12738058228 has 96 divisors (see below), whose sum is σ = 27157536000. Its totient is φ = 5220367488.

The previous prime is 12738058189. The next prime is 12738058243. The reversal of 12738058228 is 82285083721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2992950 + ... + 2997202.

It is an arithmetic number, because the mean of its divisors is an integer number (282891000).

Almost surely, 212738058228 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 12738058228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578768000).

12738058228 is an abundant number, since it is smaller than the sum of its proper divisors (14419477772).

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

12738058228 is a wasteful number, since it uses less digits than its factorization.

12738058228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 12738058228 in words is "twelve billion, seven hundred thirty-eight million, fifty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 37 49 59 74 98 118 148 196 236 259 343 413 518 686 826 1036 1372 1652 1813 2183 2891 3626 4253 4366 5782 7252 8506 8732 11564 12691 15281 17012 20237 25382 29771 30562 40474 50764 59542 61124 80948 106967 119084 157361 208397 213934 250927 314722 416794 427868 501854 629444 748769 833588 1003708 1101527 1458779 1497538 1756489 2203054 2917558 2995076 3512978 4406108 5835116 7025956 7710689 9284299 12295423 15421378 18568598 24590846 30842756 37137196 49181692 53974823 64990093 86067961 107949646 129980186 172135922 215899292 259960372 344271844 454930651 909861302 1819722604 3184514557 6369029114 12738058228