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71785721472 = 273473977489
BaseRepresentation
bin100001011011011000…
…0110010111010000000
320212021212111111012220
41002312300302322000
52134004121041342
652551121051040
75120626364463
oct1026660627200
9225255444186
1071785721472
1128498194043
1211ab4a86a80
136a003a858a
14368dc532da
151d022985ec
hex10b6c32e80

71785721472 has 64 divisors (see below), whose sum is σ = 194737910400. Its totient is φ = 23419449344.

The previous prime is 71785721471. The next prime is 71785721533. The reversal of 71785721472 is 27412758717.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (71785721471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1970697 + ... + 2006792.

It is an arithmetic number, because the mean of its divisors is an integer number (3042779850).

Almost surely, 271785721472 is an apocalyptic number.

It is an amenable number.

71785721472 is an abundant number, since it is smaller than the sum of its proper divisors (122952188928).

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

71785721472 is a wasteful number, since it uses less digits than its factorization.

71785721472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977553 (or 3977541 counting only the distinct ones).

The product of its digits is 1536640, while the sum is 51.

The spelling of 71785721472 in words is "seventy-one billion, seven hundred eighty-five million, seven hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 3977489 7954978 11932467 15909956 23864934 31819912 47729868 63639824 95459736 127279648 186941983 190919472 254559296 373883966 381838944 509118592 560825949 747767932 763677888 1121651898 1495535864 1527355776 2243303796 2991071728 4486607592 5982143456 8973215184 11964286912 17946430368 23928573824 35892860736 71785721472