Search a number
-
+
26746116201 = 3271729861139
BaseRepresentation
bin11000111010001100…
…010101100001101001
32120000222112110221100
4120322030111201221
5414234001204301
620141554032013
71634536144110
oct307214254151
976028473840
1026746116201
1110385537a72
125225278609
1326a320b47c
14141a234c77
15a68135286
hex63a315869

26746116201 has 48 divisors (see below), whose sum is σ = 48361622400. Its totient is φ = 13888433664.

The previous prime is 26746116161. The next prime is 26746116203. The reversal of 26746116201 is 10261164762.

26746116201 is a `hidden beast` number, since 26 + 7 + 4 + 6 + 1 + 1 + 620 + 1 = 666.

It is not a de Polignac number, because 26746116201 - 29 = 26746115689 is a prime.

It is a super-4 number, since 4×267461162014 (a number of 43 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (26746116203) 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, 399511 + ... + 461628.

It is an arithmetic number, because the mean of its divisors is an integer number (1007533800).

Almost surely, 226746116201 is an apocalyptic number.

26746116201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26746116201 is a deficient number, since it is larger than the sum of its proper divisors (21615506199).

26746116201 is a wasteful number, since it uses less digits than its factorization.

26746116201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861198 (or 861195 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 26746116201 in words is "twenty-six billion, seven hundred forty-six million, one hundred sixteen thousand, two hundred one".

Divisors: 1 3 7 9 17 21 29 51 63 87 119 153 203 261 357 493 609 1071 1479 1827 3451 4437 10353 31059 861139 2583417 6027973 7750251 14639363 18083919 24973031 43918089 54251757 74919093 102475541 131754267 174811217 224757279 307426623 424541527 524433651 922279869 1273624581 1573300953 2971790689 3820873743 8915372067 26746116201