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11917683414 = 234713808417
BaseRepresentation
bin10110001100101100…
…10110101011010110
31010202120020001020000
423012112112223112
5143401411332124
65250325152130
7601221431460
oct130626265326
933676201200
1011917683414
115066248a3a
12238725b646
13117c0a2ba0
14810b11130
1549b4106c9
hex2c6596ad6

11917683414 has 80 divisors (see below), whose sum is σ = 32867042208. Its totient is φ = 3143121408.

The previous prime is 11917683409. The next prime is 11917683419. The reversal of 11917683414 is 41438671911.

11917683414 is a `hidden beast` number, since 1 + 1 + 91 + 76 + 83 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (11917683409) and next prime (11917683419).

It is a self number, because there is not a number n which added to its sum of digits gives 11917683414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11917683419) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389467 + ... + 418950.

Almost surely, 211917683414 is an apocalyptic number.

11917683414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11917683414 is an abundant number, since it is smaller than the sum of its proper divisors (20949358794).

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

11917683414 is a wasteful number, since it uses less digits than its factorization.

11917683414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808451 (or 808442 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 11917683414 in words is "eleven billion, nine hundred seventeen million, six hundred eighty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 4914 7371 14742 808417 1616834 2425251 4850502 5658919 7275753 10509421 11317838 14551506 16976757 21018842 21827259 31528263 33953514 43654518 50930271 63056526 65481777 73565947 94584789 101860542 130963554 147131894 152790813 189169578 220697841 283754367 305581626 441395682 458372439 567508734 662093523 851263101 916744878 1324187046 1702526202 1986280569 3972561138 5958841707 11917683414