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26515136340 = 223257111913069
BaseRepresentation
bin11000101100011011…
…001101111101010100
32112102212220111010200
4120230123031331110
5413300333330330
620103023220500
71626032640330
oct305433157524
975385814120
1026515136340
1110277115420
12517ba47730
1326673c81b4
1413d76aa7c0
15a52c0ba60
hex62c6cdf54

26515136340 has 144 divisors (see below), whose sum is σ = 100275477120. Its totient is φ = 5509635840.

The previous prime is 26515136293. The next prime is 26515136353. The reversal of 26515136340 is 4363151562.

26515136340 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 5 + 13 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26515136295 and 26515136304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942675 + ... + 970394.

It is an arithmetic number, because the mean of its divisors is an integer number (696357480).

Almost surely, 226515136340 is an apocalyptic number.

26515136340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26515136340 is an abundant number, since it is smaller than the sum of its proper divisors (73760340780).

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

26515136340 is a wasteful number, since it uses less digits than its factorization.

26515136340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913102 (or 1913097 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 26515136340 in words is "twenty-six billion, five hundred fifteen million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 1913069 3826138 5739207 7652276 9565345 11478414 13391483 17217621 19130690 21043759 22956828 26782966 28696035 34435242 38261380 40174449 42087518 53565932 57392070 63131277 66957415 68870484 80348898 84175036 86088105 105218795 114784140 120523347 126262554 133914830 147306313 160697796 172176210 189393831 200872245 210437590 241046694 252525108 267829660 294612626 315656385 344352420 378787662 401744490 420875180 441918939 482093388 589225252 602616735 631312770 736531565 757575324 803488980 883837878 946969155 1205233470 1262625540 1325756817 1473063130 1767675756 1893938310 2209594695 2410466940 2651513634 2946126260 3787876620 4419189390 5303027268 6628784085 8838378780 13257568170 26515136340