Search a number
-
+
212571525552 = 24347233404399
BaseRepresentation
bin1100010111111001000…
…0000001000110110000
3202022200110211100111220
43011332100001012300
511440321302304202
6241353133305040
721233502104001
oct3057620010660
9668613740456
10212571525552
11821730a2441
1235245935180
13170789bcaa9
14a4079931a8
1557e1e8aabc
hex317e4011b0

212571525552 has 80 divisors (see below), whose sum is σ = 563235379200. Its totient is φ = 69051767296.

The previous prime is 212571525541. The next prime is 212571525571. The reversal of 212571525552 is 255525175212.

It is a happy number.

212571525552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323449 + ... + 727847.

It is an arithmetic number, because the mean of its divisors is an integer number (7040442240).

Almost surely, 2212571525552 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 212571525552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281617689600).

212571525552 is an abundant number, since it is smaller than the sum of its proper divisors (350663853648).

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

212571525552 is a wasteful number, since it uses less digits than its factorization.

212571525552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404690 (or 404684 counting only the distinct ones).

The product of its digits is 350000, while the sum is 42.

The spelling of 212571525552 in words is "two hundred twelve billion, five hundred seventy-one million, five hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 233 282 376 466 564 699 752 932 1128 1398 1864 2256 2796 3728 5592 10951 11184 21902 32853 43804 65706 87608 131412 175216 262824 404399 525648 808798 1213197 1617596 2426394 3235192 4852788 6470384 9705576 19006753 19411152 38013506 57020259 76027012 94224967 114040518 152054024 188449934 228081036 282674901 304108048 376899868 456162072 565349802 753799736 912324144 1130699604 1507599472 2261399208 4428573449 4522798416 8857146898 13285720347 17714293796 26571440694 35428587592 53142881388 70857175184 106285762776 212571525552