Search a number
-
+
10812578005446 = 2372831420731189
BaseRepresentation
bin1001110101010111111111…
…0111110000000111000110
31102021200011011002212120120
42131111333313300013012
52404123124432133241
634555121343442410
72164116522415200
oct235257767600706
942250134085516
1010812578005446
113499652445438
1212676725b6406
13605810c34069
1429548db71770
1513b3d75cb666
hex9d57fdf01c6

10812578005446 has 96 divisors (see below), whose sum is σ = 25461483909120. Its totient is φ = 3051774742464.

The previous prime is 10812578005433. The next prime is 10812578005483. The reversal of 10812578005446 is 64450087521801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346663620 + ... + 346694808.

It is an arithmetic number, because the mean of its divisors is an integer number (265223790720).

Almost surely, 210812578005446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10812578005446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730741954560).

10812578005446 is an abundant number, since it is smaller than the sum of its proper divisors (14648905903674).

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

10812578005446 is a wasteful number, since it uses less digits than its factorization.

10812578005446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45498 (or 45491 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 10812578005446 in words is "ten trillion, eight hundred twelve billion, five hundred seventy-eight million, five thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 498 581 1162 1743 3486 4067 8134 12201 14207 24402 28414 31189 42621 62378 85242 93567 99449 187134 198898 218323 298347 436646 596694 654969 696143 1179181 1309938 1392286 1528261 2088429 2358362 2588687 3056522 3537543 4176858 4584783 5177374 7075086 7766061 8254267 9169566 15532122 16508534 18120809 24762801 36241618 49525602 54362427 57779869 108724854 115559738 126845663 173339607 253691326 346679214 380536989 443102123 761073978 886204246 1329306369 2658612738 3101714861 6203429722 9305144583 18610289166 21712004027 36777476209 43424008054 65136012081 73554952418 110332428627 130272024162 220664857254 257442333463 514884666926 772327000389 1544654000778 1802096334241 3604192668482 5406289002723 10812578005446