Search a number
-
+
1366899828912 = 243223748955109
BaseRepresentation
bin10011111001000001100…
…101000010100010110000
311211200012121011212212100
4103321001211002202300
5134343402324011122
62523540051100400
7200520023561352
oct23710145024260
94750177155770
101366899828912
114877763558a2
121a0ab7ba1700
139bb8a186c17
144a2305610d2
15258522a6aac
hex13e419428b0

1366899828912 has 120 divisors (see below), whose sum is σ = 3992349160800. Its totient is φ = 435757031424.

The previous prime is 1366899828881. The next prime is 1366899829019. The reversal of 1366899828912 is 2198289986631.

It is a super-2 number, since 2×13668998289122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24776014 + ... + 24831122.

It is an arithmetic number, because the mean of its divisors is an integer number (33269576340).

Almost surely, 21366899828912 is an apocalyptic number.

1366899828912 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 1366899828912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996174580400).

1366899828912 is an abundant number, since it is smaller than the sum of its proper divisors (2625449331888).

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

1366899828912 is a wasteful number, since it uses less digits than its factorization.

1366899828912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62635 (or 62626 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 1366899828912 in words is "one trillion, three hundred sixty-six billion, eight hundred ninety-nine million, eight hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 7489 14978 22467 29956 44934 55109 59912 67401 89868 110218 119824 134802 165327 172247 179736 220436 269604 330654 344494 359472 440872 495981 516741 539208 661308 688988 881744 991962 1033482 1078416 1267507 1322616 1377976 1550223 1983924 2066964 2535014 2645232 2755952 3100446 3802521 3967848 4133928 5070028 6200892 7605042 7935696 8267856 10140056 11407563 12401784 15210084 20280112 22815126 24803568 30420168 45630252 60840336 91260504 182521008 412711301 825422602 1238133903 1650845204 2476267806 3301690408 3714401709 4952535612 6603380816 7428803418 9492359923 9905071224 14857606836 18984719846 19810142448 28477079769 29715213672 37969439692 56954159538 59430427344 75938879384 85431239307 113908319076 151877758768 170862478614 227816638152 341724957228 455633276304 683449914456 1366899828912