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1342711756632 = 233313771686989
BaseRepresentation
bin10011100010011111110…
…110110111011101011000
311202100202220001111111110
4103202133312313131120
5133444333202203012
62504455552500320
7166002435422241
oct23423766673530
94670686044443
101342711756632
11478493867114
1219828754a6a0
1399803c1b70c
1448db7d69cc8
1524dd8a1573c
hex1389fdb7758

1342711756632 has 128 divisors (see below), whose sum is σ = 3608840908800. Its totient is φ = 415490342400.

The previous prime is 1342711756627. The next prime is 1342711756651. The reversal of 1342711756632 is 2366571172431.

It is a super-2 number, since 2×13427117566322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1610994 + ... + 2297982.

It is an arithmetic number, because the mean of its divisors is an integer number (28194069600).

Almost surely, 21342711756632 is an apocalyptic number.

1342711756632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342711756632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804420454400).

1342711756632 is an abundant number, since it is smaller than the sum of its proper divisors (2266129152168).

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

1342711756632 is a wasteful number, since it uses less digits than its factorization.

1342711756632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687137 (or 687133 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The spelling of 1342711756632 in words is "one trillion, three hundred forty-two billion, seven hundred eleven million, seven hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 71 74 93 111 124 142 148 186 213 222 248 284 296 372 426 444 568 744 852 888 1147 1704 2201 2294 2627 3441 4402 4588 5254 6603 6882 7881 8804 9176 10508 13206 13764 15762 17608 21016 26412 27528 31524 52824 63048 81437 162874 244311 325748 488622 651496 686989 977244 1373978 1954488 2060967 2747956 4121934 5495912 8243868 16487736 21296659 25418593 42593318 48776219 50837186 63889977 76255779 85186636 97552438 101674372 127779954 146328657 152511558 170373272 195104876 203348744 255559908 292657314 305023116 390209752 511119816 585314628 610046232 787976383 1170629256 1512062789 1575952766 1804720103 2363929149 3024125578 3151905532 3609440206 4536188367 4727858298 5414160309 6048251156 6303811064 7218880412 9072376734 9455716596 10828320618 12096502312 14437760824 18144753468 18911433192 21656641236 36289506936 43313282472 55946323193 111892646386 167838969579 223785292772 335677939158 447570585544 671355878316 1342711756632