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11634414324 = 223131919120551
BaseRepresentation
bin10101101010111011…
…10001001011110100
31010000211012111002020
422311131301023310
5142311402224244
65202245513140
7561211614201
oct126535611364
933024174066
1011634414324
114a30361755
1223084127b0
1311354b2540
147c5254ca8
15481608d19
hex2b57712f4

11634414324 has 96 divisors (see below), whose sum is σ = 30936514560. Its totient is φ = 3373488000.

The previous prime is 11634414307. The next prime is 11634414353. The reversal of 11634414324 is 42341443611.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555849 + ... + 576399.

It is an arithmetic number, because the mean of its divisors is an integer number (322255360).

Almost surely, 211634414324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11634414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15468257280).

11634414324 is an abundant number, since it is smaller than the sum of its proper divisors (19302100236).

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

11634414324 is a wasteful number, since it uses less digits than its factorization.

11634414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20781 (or 20779 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 11634414324 its reverse (42341443611), we get a palindrome (53975857935).

The spelling of 11634414324 in words is "eleven billion, six hundred thirty-four million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 191 228 247 382 494 573 741 764 988 1146 1482 2292 2483 2964 3629 4966 7258 7449 9932 10887 14516 14898 20551 21774 29796 41102 43548 47177 61653 82204 94354 123306 141531 188708 246612 267163 283062 390469 534326 566124 780938 801489 1068652 1171407 1561876 1602978 2342814 3205956 3925241 4685628 5076097 7850482 10152194 11775723 15228291 15700964 20304388 23551446 30456582 47102892 51028133 60913164 74579579 102056266 149159158 153084399 204112532 223738737 298318316 306168798 447477474 612337596 894954948 969534527 1939069054 2908603581 3878138108 5817207162 11634414324