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116575832979676 = 227294729310425263
BaseRepresentation
bin11010100000011001101101…
…000111010011100011011100
3120021202112121020102112222201
4122200121231013103203130
5110234434301220322201
61051534110502021244
733361216546556620
oct3240315507234334
9507675536375881
10116575832979676
1134165595656074
12110a9216717824
1350080914b4415
1420b042c4dd180
15d72611a34801
hex6a066d1d38dc

116575832979676 has 96 divisors (see below), whose sum is σ = 247163826954240. Its totient is φ = 47050792045824.

The previous prime is 116575832979667. The next prime is 116575832979679. The reversal of 116575832979676 is 676979238575611.

It is a self number, because there is not a number n which added to its sum of digits gives 116575832979676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116575832979679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5969421 + ... + 16394683.

It is an arithmetic number, because the mean of its divisors is an integer number (2574623197440).

Almost surely, 2116575832979676 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 116575832979676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123581913477120).

116575832979676 is an abundant number, since it is smaller than the sum of its proper divisors (130587993974564).

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

116575832979676 is a wasteful number, since it uses less digits than its factorization.

116575832979676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425643 (or 10425641 counting only the distinct ones).

The product of its digits is 7201353600, while the sum is 82.

The spelling of 116575832979676 in words is "one hundred sixteen trillion, five hundred seventy-five billion, eight hundred thirty-two million, nine hundred seventy-nine thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 203 293 329 406 586 658 812 1172 1316 1363 2051 2726 4102 5452 8204 8497 9541 13771 16994 19082 27542 33988 38164 55084 59479 96397 118958 192794 237916 385588 399359 798718 1597436 2795513 5591026 10425263 11182052 20850526 41701052 72976841 145953682 291907364 302332627 489987361 604665254 979974722 1209330508 1959949444 2116328389 3054602059 3429911527 4232656778 6109204118 6859823054 8465313556 12218408236 13719646108 14209633469 21382214413 28419266938 42764428826 56838533876 85528857652 88583459711 99467434283 143566296773 177166919422 198934868566 287132593546 354333838844 397869737132 574265187092 620084217977 1004964077411 1240168435954 2009928154822 2480336871908 4019856309644 4163422606417 8326845212834 16653690425668 29143958244919 58287916489838 116575832979676