Search a number
-
+
47009305411072 = 29532337435019
BaseRepresentation
bin10101011000001001101001…
…11100110011111000000000
320011110001020022122211221021
422230010310330303320000
522130200024141123242
6243551435441035224
712621211261022254
oct1254046474637000
9204401208584837
1047009305411072
1113a84597413494
125332875325b14
13202cc5ca17094
14b87396508264
15567c47324b67
hex2ac134f33e00

47009305411072 has 80 divisors (see below), whose sum is σ = 96109737712560. Its totient is φ = 22962190630912.

The previous prime is 47009305411031. The next prime is 47009305411121. The reversal of 47009305411072 is 27011450390074.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2605179 + ... + 10040197.

It is an arithmetic number, because the mean of its divisors is an integer number (1201371721407).

Almost surely, 247009305411072 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 47009305411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48054868856280).

47009305411072 is an abundant number, since it is smaller than the sum of its proper divisors (49100432301488).

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

47009305411072 is an equidigital number, since it uses as much as digits as its factorization.

47009305411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7435323 (or 7435307 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 47009305411072 in words is "forty-seven trillion, nine billion, three hundred five million, four hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 233 256 424 466 512 848 932 1696 1864 3392 3728 6784 7456 12349 13568 14912 24698 27136 29824 49396 59648 98792 119296 197584 395168 790336 1580672 3161344 6322688 7435019 14870038 29740076 59480152 118960304 237920608 394056007 475841216 788112014 951682432 1576224028 1732359427 1903364864 3152448056 3464718854 3806729728 6304896112 6929437708 12609792224 13858875416 25219584448 27717750832 50439168896 55435501664 91815049631 100878337792 110871003328 183630099262 201756675584 221742006656 367260198524 443484013312 734520397048 886968026624 1469040794096 2938081588192 5876163176384 11752326352768 23504652705536 47009305411072