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6871908064 = 257672631741
BaseRepresentation
bin1100110011001100…
…01111111011100000
3122201220201002200111
412121212033323200
5103033202024224
63053520501104
7332202153250
oct63146177340
918656632614
106871908064
112a0701626a
1213b947a794
13856907ab8
14492935960
152a3465d94
hex19998fee0

6871908064 has 96 divisors (see below), whose sum is σ = 15761281536. Its totient is φ = 2888455680.

The previous prime is 6871908047. The next prime is 6871908067. The reversal of 6871908064 is 4608091786.

It is a junction number, because it is equal to n+sod(n) for n = 6871907999 and 6871908017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871908067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3946234 + ... + 3947974.

It is an arithmetic number, because the mean of its divisors is an integer number (164180016).

Almost surely, 26871908064 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 6871908064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880640768).

6871908064 is an abundant number, since it is smaller than the sum of its proper divisors (8889373472).

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

6871908064 is a wasteful number, since it uses less digits than its factorization.

6871908064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 6871908064 is about 82896.9725864582. The cubic root of 6871908064 is about 1901.1911334401.

The spelling of 6871908064 in words is "six billion, eight hundred seventy-one million, nine hundred eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 263 268 469 526 536 938 1052 1072 1741 1841 1876 2104 2144 3482 3682 3752 4208 6964 7364 7504 8416 12187 13928 14728 15008 17621 24374 27856 29456 35242 48748 55712 58912 70484 97496 116647 123347 140968 194992 233294 246694 281936 389984 457883 466588 493388 563872 816529 915766 933176 986776 1633058 1831532 1866352 1973552 3205181 3266116 3663064 3732704 3947104 6410362 6532232 7326128 12820724 13064464 14652256 25641448 26128928 30678161 51282896 61356322 102565792 122712644 214747127 245425288 429494254 490850576 858988508 981701152 1717977016 3435954032 6871908064