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11161212134096 = 241926772854273
BaseRepresentation
bin1010001001101010110000…
…0101011010001011010000
31110112000001001201121200202
42202122230011122023100
52430331130301242341
635423220131034332
72231241145543223
oct242325405321320
943460031647622
1011161212134096
113613497306392
12130314b43b9a8
1362c66184318b
142a82c40575ba
151454de77c79b
hexa26ac15a2d0

11161212134096 has 60 divisors (see below), whose sum is σ = 22856620885092. Its totient is φ = 5279078817792.

The previous prime is 11161212134081. The next prime is 11161212134099. The reversal of 11161212134096 is 69043121216111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5315145811600 + 5846066322496 = 2305460^2 + 2417864^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161212134099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2483216 + ... + 5337488.

Almost surely, 211161212134096 is an apocalyptic number.

11161212134096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11161212134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428310442546).

11161212134096 is an abundant number, since it is smaller than the sum of its proper divisors (11695408750996).

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

11161212134096 is a wasteful number, since it uses less digits than its factorization.

11161212134096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854996 (or 2854971 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 11161212134096 in words is "eleven trillion, one hundred sixty-one billion, two hundred twelve million, one hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 677 722 1354 1444 2708 2888 5416 5776 10832 12863 25726 51452 102904 205808 244397 488794 977588 1955176 2854273 3910352 5708546 11417092 22834184 45668368 54231187 108462374 216924748 433849496 867698992 1030392553 1932342821 2060785106 3864685642 4121570212 7729371284 8243140424 15458742568 16486280848 30917485136 36714513599 73429027198 146858054396 293716108792 587432217584 697575758381 1395151516762 2790303033524 5580606067048 11161212134096