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26606221421364 = 223213233793330757
BaseRepresentation
bin1100000110010101111100…
…11000000110101100110100
310111012112022022120001201200
412003022332120012230310
511441404020140440424
6132330421314052500
75414143653422604
oct603127630065464
9114175268501650
1026606221421364
1185286a9407a32
122b9856987a130
1311acc571b4440
1467da6869ac04
1531214ee608c9
hex1832be606b34

26606221421364 has 144 divisors (see below), whose sum is σ = 72750431596752. Its totient is φ = 8150101825536.

The previous prime is 26606221421359. The next prime is 26606221421369. The reversal of 26606221421364 is 46312412260662.

It is a happy number.

26606221421364 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 622 + 1 + 4 + 2 + 13 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (26606221421359) and next prime (26606221421369).

It can be written as a sum of positive squares in 8 ways, for example, as 6301806915600 + 20304414505764 = 2510340^2 + 4506042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26606221421369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865030674 + ... + 865061430.

It is an arithmetic number, because the mean of its divisors is an integer number (505211330533).

Almost surely, 226606221421364 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 26606221421364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36375215798376).

26606221421364 is an abundant number, since it is smaller than the sum of its proper divisors (46144210175388).

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

26606221421364 is a wasteful number, since it uses less digits than its factorization.

26606221421364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38946 (or 38941 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 26606221421364 in words is "twenty-six trillion, six hundred six billion, two hundred twenty-one million, four hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 233 234 466 468 699 932 1398 2097 2796 3029 4194 6058 7933 8388 9087 12116 15866 18174 23799 27261 30757 31732 36348 47598 54522 61514 71397 92271 95196 103129 109044 123028 142794 184542 206258 276813 285588 309387 369084 399841 412516 553626 618774 799682 928161 1107252 1199523 1237548 1599364 1848389 1856322 2399046 3598569 3696778 3712644 4798092 5545167 7166381 7197138 7393556 11090334 14332762 14394276 16635501 21499143 22180668 24029057 28665524 33271002 42998286 48058114 64497429 66542004 72087171 85996572 93162953 96116228 128994858 144174342 186325906 216261513 243995281 257989716 279488859 288348684 372651812 432523026 487990562 558977718 731985843 838466577 865046052 975981124 1117955436 1463971686 1676933154 2195957529 2927943372 3171938653 3353866308 4391915058 6343877306 8783830116 9515815959 12687754612 19031631918 28547447877 38063263836 56850900473 57094895754 113701800946 114189791508 170552701419 227403601892 341105402838 511658104257 682210805676 739061706149 1023316208514 1478123412298 2046632417028 2217185118447 2956246824596 4434370236894 6651555355341 8868740473788 13303110710682 26606221421364