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11661516112 = 2417793971367
BaseRepresentation
bin10101101110001010…
…01001110101010000
31010002201012101202011
422313011021311100
5142340322003422
65205054432304
7561661152151
oct126705116520
933081171664
1011661516112
114a44692724
122315502694
13113acb12bc
147c8aab928
15483bae077
hex2b7149d50

11661516112 has 80 divisors (see below), whose sum is σ = 24304872960. Its totient is φ = 5400705024.

The previous prime is 11661516101. The next prime is 11661516127. The reversal of 11661516112 is 21161516611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8530053 + ... + 8531419.

It is an arithmetic number, because the mean of its divisors is an integer number (303810912).

Almost surely, 211661516112 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 11661516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152436480).

11661516112 is an abundant number, since it is smaller than the sum of its proper divisors (12643356848).

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

11661516112 is a wasteful number, since it uses less digits than its factorization.

11661516112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1862 counting only the distinct ones).

The product of its digits is 2160, while the sum is 31.

The spelling of 11661516112 in words is "eleven billion, six hundred sixty-one million, five hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 397 632 794 1264 1343 1367 1588 2686 2734 3176 5372 5468 6352 6749 10744 10936 13498 21488 21872 23239 26996 31363 46478 53992 62726 92956 107984 107993 125452 185912 215986 250904 371824 431972 501808 533171 542699 863944 1066342 1085398 1727888 1835881 2132684 2170796 3671762 4265368 4341592 7343524 8530736 8683184 9225883 14687048 18451766 29374096 36903532 42873221 73807064 85746442 147614128 171492884 342985768 685971536 728844757 1457689514 2915379028 5830758056 11661516112