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6857968208 = 2471315131193
BaseRepresentation
bin1100110001100010…
…00100101001010000
3122200221110212210112
412120301010221100
5103021114440313
63052302020452
7331642524260
oct63061045120
918627425715
106857968208
1129aa165023
1213b4877728
13853a66b70
14490b477a0
152a21108a8
hex198c44a50

6857968208 has 80 divisors (see below), whose sum is σ = 16462446336. Its totient is φ = 2694988800.

The previous prime is 6857968207. The next prime is 6857968217. The reversal of 6857968208 is 8028697586.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6857968207) 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, 204260 + ... + 235452.

Almost surely, 26857968208 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 6857968208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231223168).

6857968208 is an abundant number, since it is smaller than the sum of its proper divisors (9604478128).

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

6857968208 is a wasteful number, since it uses less digits than its factorization.

6857968208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31372 (or 31366 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The square root of 6857968208 is about 82812.8505003903. The cubic root of 6857968208 is about 1899.9047235696.

The spelling of 6857968208 in words is "six billion, eight hundred fifty-seven million, nine hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 151 182 208 302 364 604 728 1057 1208 1456 1963 2114 2416 3926 4228 7852 8456 13741 15704 16912 27482 31193 31408 54964 62386 109928 124772 218351 219856 249544 405509 436702 499088 811018 873404 1622036 1746808 2838563 3244072 3493616 4710143 5677126 6488144 9420286 11354252 18840572 22708504 32971001 37681144 45417008 61231859 65942002 75362288 122463718 131884004 244927436 263768008 428623013 489854872 527536016 857246026 979709744 1714492052 3428984104 6857968208