Search a number
-
+
36034770135 = 35713179147481
BaseRepresentation
bin100001100011110101…
…101111010011010111
310110000022202222201010
4201203311233103113
51042244400121020
624315410103303
72413655330610
oct414365572327
9113008688633
1036034770135
1114311763171
126b97b7ab33
1335237160c0
141a5bb08c07
15e0d82dde0
hex863d6f4d7

36034770135 has 64 divisors (see below), whose sum is σ = 71357690880. Its totient is φ = 15120829440.

The previous prime is 36034770113. The next prime is 36034770179. The reversal of 36034770135 is 53107743063.

It is a happy number.

It is not a de Polignac number, because 36034770135 - 28 = 36034769879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 36034770093 and 36034770102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170595 + ... + 318075.

It is an arithmetic number, because the mean of its divisors is an integer number (1114963920).

Almost surely, 236034770135 is an apocalyptic number.

36034770135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36034770135 is a deficient number, since it is larger than the sum of its proper divisors (35322920745).

36034770135 is a wasteful number, since it uses less digits than its factorization.

36034770135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147688.

The product of its (nonzero) digits is 158760, while the sum is 39.

The spelling of 36034770135 in words is "thirty-six billion, thirty-four million, seven hundred seventy thousand, one hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 179 195 273 455 537 895 1253 1365 2327 2685 3759 6265 6981 11635 16289 18795 34905 48867 81445 147481 244335 442443 737405 1032367 1917253 2212215 3097101 5161835 5751759 9586265 13420771 15485505 26399099 28758795 40262313 67103855 79197297 131995495 184793693 201311565 343188287 395986485 554381079 923968465 1029564861 1715941435 2402318009 2771905395 5147824305 7206954027 12011590045 36034770135