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6939293312 = 27713756531
BaseRepresentation
bin1100111011001110…
…10011011010000000
3122220121111121212102
412131213103122000
5103202424341222
63104325045532
7333651006560
oct63547233200
918817447772
106939293312
112a41060856
121417b568a8
1386786c423
1449b876da0
152a9326d92
hex19d9d3680

6939293312 has 64 divisors (see below), whose sum is σ = 15914888640. Its totient is φ = 2952222720.

The previous prime is 6939293311. The next prime is 6939293323. The reversal of 6939293312 is 2133929396.

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 (6939293311) 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, 94487 + ... + 151017.

It is an arithmetic number, because the mean of its divisors is an integer number (248670135).

Almost surely, 26939293312 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 6939293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957444320).

6939293312 is an abundant number, since it is smaller than the sum of its proper divisors (8975595328).

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

6939293312 is a wasteful number, since it uses less digits than its factorization.

6939293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56689 (or 56677 counting only the distinct ones).

The product of its digits is 472392, while the sum is 47.

The square root of 6939293312 is about 83302.4208051603. The cubic root of 6939293312 is about 1907.3852282639.

The spelling of 6939293312 in words is "six billion, nine hundred thirty-nine million, two hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 274 448 548 896 959 1096 1918 2192 3836 4384 7672 8768 15344 17536 30688 56531 61376 113062 122752 226124 395717 452248 791434 904496 1582868 1808992 3165736 3617984 6331472 7235968 7744747 12662944 15489494 25325888 30978988 50651776 54213229 61957976 108426458 123915952 216852916 247831904 433705832 495663808 867411664 991327616 1734823328 3469646656 6939293312