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6982975116 = 2233135698741
BaseRepresentation
bin1101000000011011…
…11011111010001100
3200000122200220001000
412200031323322030
5103300120200431
63112525220300
7335021211015
oct64015737214
920018626030
106982975116
112a63786617
12142a701690
13873924a50
144a35a800c
152ad0a49e6
hex1a037be8c

6982975116 has 96 divisors (see below), whose sum is σ = 19533124800. Its totient is φ = 2144586240.

The previous prime is 6982975079. The next prime is 6982975117. The reversal of 6982975116 is 6115792896.

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 (6982975117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794506 + ... + 803246.

It is an arithmetic number, because the mean of its divisors is an integer number (203470050).

Almost surely, 26982975116 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 6982975116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766562400).

6982975116 is an abundant number, since it is smaller than the sum of its proper divisors (12550149684).

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

6982975116 is a wasteful number, since it uses less digits than its factorization.

6982975116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9328 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 6982975116 is about 83564.1975728840. The cubic root of 6982975116 is about 1911.3790937285.

The spelling of 6982975116 in words is "six billion, nine hundred eighty-two million, nine hundred seventy-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 569 702 1138 1404 1707 2276 3414 5121 6828 7397 8741 10242 14794 15363 17482 20484 22191 26223 29588 30726 34964 44382 52446 61452 66573 78669 88764 104892 113633 133146 157338 199719 227266 236007 266292 314676 340899 399438 454532 472014 681798 798876 944028 1022697 1363596 2045394 3068091 4090788 4973629 6136182 9947258 12272364 14920887 19894516 29841774 44762661 59683548 64657177 89525322 129314354 134287983 179050644 193971531 258628708 268575966 387943062 537151932 581914593 775886124 1163829186 1745743779 2327658372 3491487558 6982975116