Search a number
-
+
26500123036053 = 3219434018987501
BaseRepresentation
bin1100000011010000010100…
…11010111000100110010101
310110211101110010201122112100
412001220022122320212111
511433134222444123203
6132205553301312313
75403366516140232
oct601501232704625
9113741403648470
1026500123036053
118497703662777
122b7ba99705699
1311a2c4910c3a4
1467888173a789
1530e4e0656ea3
hex181a0a6b8995

26500123036053 has 48 divisors (see below), whose sum is σ = 41332443197760. Its totient is φ = 16306920000000.

The previous prime is 26500123036021. The next prime is 26500123036087. The reversal of 26500123036053 is 35063032100562.

26500123036053 is a `hidden beast` number, since 2 + 6 + 5 + 0 + 0 + 12 + 30 + 3 + 605 + 3 = 666.

It is not a de Polignac number, because 26500123036053 - 25 = 26500123036021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26500123035999 and 26500123036017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26500123036003) by changing a digit.

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, 1545198 + ... + 7442303.

It is an arithmetic number, because the mean of its divisors is an integer number (861092566620).

Almost surely, 226500123036053 is an apocalyptic number.

It is an amenable number.

26500123036053 is a deficient number, since it is larger than the sum of its proper divisors (14832320161707).

26500123036053 is a wasteful number, since it uses less digits than its factorization.

26500123036053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987970 (or 8987967 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 26500123036053 in words is "twenty-six trillion, five hundred billion, one hundred twenty-three million, thirty-six thousand, fifty-three".

Divisors: 1 3 9 19 43 57 129 171 387 401 817 1203 2451 3609 7353 7619 17243 22857 51729 68571 155187 327617 982851 2948553 8987501 26962503 80887509 170762519 386462543 512287557 1159387629 1536862671 3478162887 3603987901 7342788317 10811963703 22028364951 32435891109 66085094853 68475770119 154971479743 205427310357 464914439229 616281931071 1394743317687 2944458115117 8833374345351 26500123036053