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26553775140 = 22325181815033
BaseRepresentation
bin11000101110101110…
…100111010000100100
32112112120121112121100
4120232232213100210
5413340231301030
620110523320100
71630012236024
oct305656472044
975476545540
1026553775140
1110296a06312
125190980030
1326724062a9
1413dc887a84
15a562e0360
hex62eba7424

26553775140 has 72 divisors (see below), whose sum is σ = 80991558648. Its totient is φ = 7041876480.

The previous prime is 26553775069. The next prime is 26553775159. The reversal of 26553775140 is 4157735562.

It is a happy number.

26553775140 is a `hidden beast` number, since 2 + 6 + 5 + 537 + 75 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 712569636 + 25841205504 = 26694^2 + 160752^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374937 + ... + 440096.

It is an arithmetic number, because the mean of its divisors is an integer number (1124882759).

Almost surely, 226553775140 is an apocalyptic number.

26553775140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26553775140 is an abundant number, since it is smaller than the sum of its proper divisors (54437783508).

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

26553775140 is a wasteful number, since it uses less digits than its factorization.

26553775140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815229 (or 815224 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 26553775140 in words is "twenty-six billion, five hundred fifty-three million, seven hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 815033 1630066 2445099 3260132 4075165 4890198 7335297 8150330 9780396 12225495 14670594 16300660 24450990 29341188 36676485 48901980 73352970 146705940 147520973 295041946 442562919 590083892 737604865 885125838 1327688757 1475209730 1770251676 2212814595 2655377514 2950419460 4425629190 5310755028 6638443785 8851258380 13276887570 26553775140