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11332917414 = 2337135939089
BaseRepresentation
bin10101000110111111…
…01001100010100110
31002020210212212002000
422203133221202212
5141202211324124
65112315430130
7550561131360
oct124337514246
932223785060
1011332917414
114896155655
122243455346
1310b7bac2c0
147971b1d30
15464e016c9
hex2a37e98a6

11332917414 has 128 divisors (see below), whose sum is σ = 31522176000. Its totient is φ = 2938166784.

The previous prime is 11332917377. The next prime is 11332917467. The reversal of 11332917414 is 41471923311.

It is a happy number.

It is a super-2 number, since 2×113329174142 (a number of 21 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 63 ways as a sum of consecutive naturals, for example, 270382 + ... + 309470.

It is an arithmetic number, because the mean of its divisors is an integer number (246267000).

Almost surely, 211332917414 is an apocalyptic number.

11332917414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332917414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761088000).

11332917414 is an abundant number, since it is smaller than the sum of its proper divisors (20189258586).

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

11332917414 is a wasteful number, since it uses less digits than its factorization.

11332917414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39179 (or 39173 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 11332917414 in words is "eleven billion, three hundred thirty-two million, nine hundred seventeen thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 59 63 78 91 117 118 126 177 182 189 234 273 351 354 378 413 531 546 702 767 819 826 1062 1239 1534 1593 1638 2301 2457 2478 3186 3717 4602 4914 5369 6903 7434 10738 11151 13806 16107 20709 22302 32214 39089 41418 48321 78178 96642 117267 144963 234534 273623 289926 351801 508157 547246 703602 820869 1016314 1055403 1524471 1641738 2110806 2306251 2462607 3048942 3557099 4573413 4612502 4925214 6918753 7114198 7387821 9146826 10671297 13720239 13837506 14775642 16143757 20756259 21342594 27440478 29981263 32013891 32287514 41512518 48431271 59962526 62268777 64027782 89943789 96041673 96862542 124537554 145293813 179887578 192083346 209868841 269831367 290587626 419737682 435881439 539662734 629606523 809494101 871762878 1259213046 1618988202 1888819569 3777639138 5666458707 11332917414