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2686697920242 = 2327235507168347
BaseRepresentation
bin100111000110001011101…
…011001101011011110010
3100111211211121010120201100
4213012023223031123302
5323004324131421432
65414130232345230
7365051610342660
oct47061353153362
910454747116640
102686697920242
11946470a30036
12374849845216
1316647bb83cab
1494073273c30
1549d4936307c
hex2718bacd6f2

2686697920242 has 96 divisors (see below), whose sum is σ = 6943328750592. Its totient is φ = 734115156192.

The previous prime is 2686697920223. The next prime is 2686697920267. The reversal of 2686697920242 is 2420297966862.

2686697920242 is a `hidden beast` number, since 268 + 6 + 69 + 79 + 2 + 0 + 242 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2686697920242.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15875113 + ... + 16043459.

It is an arithmetic number, because the mean of its divisors is an integer number (72326341152).

Almost surely, 22686697920242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2686697920242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471664375296).

2686697920242 is an abundant number, since it is smaller than the sum of its proper divisors (4256630830350).

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

2686697920242 is a wasteful number, since it uses less digits than its factorization.

2686697920242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173892 (or 173889 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 2686697920242 in words is "two trillion, six hundred eighty-six billion, six hundred ninety-seven million, nine hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 5507 11014 16521 33042 38549 49563 77098 99126 115647 126661 168347 231294 253322 336694 346941 379983 505041 693882 759966 886627 1010082 1139949 1178429 1515123 1773254 2279898 2356858 2659881 3030246 3535287 3871981 5319762 7070574 7743962 7979643 10605861 11615943 15959286 21211722 23231886 27103867 34847829 54207734 69695658 81311601 162623202 243934803 487869606 927086929 1854173858 2781260787 5562521574 6489608503 8343782361 12979217006 16687564722 19468825509 21322999367 38937651018 42645998734 58406476527 63968998101 116812953054 127937996202 149260995569 191906994303 298521991138 383813988606 447782986707 895565973414 1343348960121 2686697920242