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1214705327682 = 237114771787903
BaseRepresentation
bin10001101011010010000…
…101000101111001000010
311022010100220101011020110
4101223102011011321002
5124400204030441212
62330010010452150
7153521346632340
oct21532205057102
94263326334213
101214705327682
11429176543470
12177502434056
138a71407cc32
1442b13564990
15218e5be4a3c
hex11ad2145e42

1214705327682 has 128 divisors (see below), whose sum is σ = 3136891650048. Its totient is φ = 304445332800.

The previous prime is 1214705327681. The next prime is 1214705327701. The reversal of 1214705327682 is 2867235074121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1214705327681) 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 63 ways as a sum of consecutive naturals, for example, 1147743 + ... + 1935645.

It is an arithmetic number, because the mean of its divisors is an integer number (24506966016).

Almost surely, 21214705327682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214705327682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568445825024).

1214705327682 is an abundant number, since it is smaller than the sum of its proper divisors (1922186322366).

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

1214705327682 is a wasteful number, since it uses less digits than its factorization.

1214705327682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788044.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 1214705327682 in words is "one trillion, two hundred fourteen billion, seven hundred five million, three hundred twenty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 71 77 94 141 142 154 213 231 282 329 426 462 497 517 658 781 987 994 1034 1491 1551 1562 1974 2343 2982 3102 3337 3619 4686 5467 6674 7238 10011 10857 10934 16401 20022 21714 23359 32802 36707 46718 70077 73414 110121 140154 220242 256949 513898 770847 787903 1541694 1575806 2363709 4727418 5515321 8666933 11030642 16545963 17333866 26000799 33091926 37031441 52001598 55941113 60668531 74062882 111094323 111882226 121337062 167823339 182005593 222188646 259220087 335646678 364011186 391587791 407345851 518440174 615352243 777660261 783175582 814691702 1174763373 1222037553 1230704486 1555320522 1846056729 2349526746 2444075106 2629232311 2851420957 3692113458 4307465701 5258464622 5702841914 7887696933 8554262871 8614931402 12922397103 15775393866 17108525742 18404626177 25844794206 28921555421 36809252354 55213878531 57843110842 86764666263 110427757062 173529332526 202450887947 404901775894 607352663841 1214705327682