Search a number
-
+
6880855716 = 223477334139
BaseRepresentation
bin1100110100010000…
…11000011010100100
3122202112112200120000
412122020120122210
5103042444340331
63054440341300
7332341210560
oct63210303244
918675480500
106880855716
112a11077819
121400474830
1385871b677
14493bc46a0
152a41320e6
hex19a2186a4

6880855716 has 120 divisors (see below), whose sum is σ = 20590637760. Its totient is φ = 1962802368.

The previous prime is 6880855703. The next prime is 6880855717. The reversal of 6880855716 is 6175580886.

6880855716 is a `hidden beast` number, since 6 + 8 + 80 + 8 + 557 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6880855717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1660375 + ... + 1664513.

It is an arithmetic number, because the mean of its divisors is an integer number (171588648).

Almost surely, 26880855716 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 6880855716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295318880).

6880855716 is an abundant number, since it is smaller than the sum of its proper divisors (13709782044).

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

6880855716 is a wasteful number, since it uses less digits than its factorization.

6880855716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 6880855716 is about 82950.9235391626. The cubic root of 6880855716 is about 1902.0159319586.

The spelling of 6880855716 in words is "six billion, eight hundred eighty million, eight hundred fifty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 733 756 1134 1466 2199 2268 2932 4139 4398 5131 6597 8278 8796 10262 12417 13194 15393 16556 19791 20524 24834 26388 28973 30786 37251 39582 46179 49668 57946 59373 61572 74502 79164 86919 92358 111753 115892 118746 138537 149004 173838 184716 223506 237492 260757 277074 335259 347676 415611 447012 521514 554148 670518 782271 831222 1043028 1341036 1564542 1662444 2346813 3033887 3129084 4693626 6067774 9101661 9387252 12135548 18203322 21237209 27304983 36406644 42474418 54609966 63711627 81914949 84948836 109219932 127423254 163829898 191134881 245744847 254846508 327659796 382269762 491489694 573404643 764539524 982979388 1146809286 1720213929 2293618572 3440427858 6880855716