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113184405881856 = 210321108212
BaseRepresentation
bin11001101111000011001100…
…010011101000010000000000
3112211202022201212000110111100
4121233003030103220100000
5104313403130401204411
61040420110453214400
732561206043100441
oct3157031423502000
9484668655013440
10113184405881856
1133078267455321
121083ba90631400
134b20322487b8a
141dd4223c3d2c8
15d142bd35b456
hex66f0cc4e8400

113184405881856 has 99 divisors (see below), whose sum is σ = 326820464809293. Its totient is φ = 37727794851840.

The previous prime is 113184405881849. The next prime is 113184405881941. The reversal of 113184405881856 is 658188504481311.

The square root of 113184405881856 is 10638816.

It is a perfect power (a square), and thus also a powerful number.

113184405881856 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 8 + 4 + 40 + 588 + 1 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3407656928256 + 109776748953600 = 1845984^2 + 10477440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113184405881793 and 113184405881802.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1021270926 + ... + 1021381746.

Almost surely, 2113184405881856 is an apocalyptic number.

113184405881856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113184405881856 is the 10638816-th square number.

It is an amenable number.

113184405881856 is an abundant number, since it is smaller than the sum of its proper divisors (213636058927437).

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

113184405881856 is an frugal number, since it uses more digits than its factorization.

113184405881856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221668 (or 110826 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 113184405881856 in words is "one hundred thirteen trillion, one hundred eighty-four billion, four hundred five million, eight hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 110821 221642 332463 443284 664926 886568 997389 1329852 1773136 1994778 2659704 3546272 3989556 5319408 7092544 7979112 10638816 14185088 15958224 21277632 28370176 31916448 42555264 56740352 63832896 85110528 113480704 127665792 170221056 255331584 340442112 510663168 1021326336 12281294041 24562588082 36843882123 49125176164 73687764246 98250352328 110531646369 147375528492 196500704656 221063292738 294751056984 393001409312 442126585476 589502113968 786002818624 884253170952 1179004227936 1572005637248 1768506341904 2358008455872 3144011274496 3537012683808 4716016911744 6288022548992 7074025367616 9432033823488 12576045097984 14148050735232 18864067646976 28296101470464 37728135293952 56592202940928 113184405881856