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11712001284 = 223217210612
BaseRepresentation
bin10101110100001011…
…01111010100000100
31010020020012022101100
422322011233110010
5142441233020114
65214100500100
7563143240224
oct127205572404
933206168340
1011712001284
114a70134a05
12232a3aa630
1311485a9499
147d1690084
15488332909
hex2ba16f504

11712001284 has 81 divisors (see below), whose sum is σ = 31478936671. Its totient is φ = 3670890240.

The previous prime is 11712001241. The next prime is 11712001313. The reversal of 11712001284 is 48210021711.

The square root of 11712001284 is 108222.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2278152900 + 9433848384 = 47730^2 + 97128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11038114 + ... + 11039174.

Almost surely, 211712001284 is an apocalyptic number.

11712001284 is the 108222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11712001284

11712001284 is an abundant number, since it is smaller than the sum of its proper divisors (19766935387).

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

11712001284 is a wasteful number, since it uses less digits than its factorization.

11712001284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 11712001284 its reverse (48210021711), we get a palindrome (59922022995).

The spelling of 11712001284 in words is "eleven billion, seven hundred twelve million, one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1061 1156 1734 2122 2601 3183 3468 4244 5202 6366 9549 10404 12732 18037 19098 36074 38196 54111 72148 108222 162333 216444 306629 324666 613258 649332 919887 1125721 1226516 1839774 2251442 2759661 3377163 3679548 4502884 5519322 6754326 10131489 11038644 13508652 19137257 20262978 38274514 40525956 57411771 76549028 114823542 172235313 229647084 325333369 344470626 650666738 688941252 976000107 1301333476 1952000214 2928000321 3904000428 5856000642 11712001284