Search a number
-
+
38340129087 = 3513174316603
BaseRepresentation
bin100011101101001111…
…111111000100111111
310122221222201100200000
4203231033333010333
51112010033112322
625340242005343
72525050502001
oct435517770477
9118858640600
1038340129087
11152950044a7
127520046853
133800216520
141bd9d70371
15ee5e0d3ac
hex8ed3ff13f

38340129087 has 96 divisors (see below), whose sum is σ = 67014275328. Its totient is φ = 21688321536.

The previous prime is 38340129083. The next prime is 38340129101. The reversal of 38340129087 is 78092104383.

38340129087 is a `hidden beast` number, since 3 + 83 + 401 + 2 + 90 + 87 = 666.

It is not a de Polignac number, because 38340129087 - 22 = 38340129083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38340129083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2300928 + ... + 2317530.

It is an arithmetic number, because the mean of its divisors is an integer number (698065368).

Almost surely, 238340129087 is an apocalyptic number.

38340129087 is a deficient number, since it is larger than the sum of its proper divisors (28674146241).

38340129087 is a wasteful number, since it uses less digits than its factorization.

38340129087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16691 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 38340129087 in words is "thirty-eight billion, three hundred forty million, one hundred twenty-nine thousand, eighty-seven".

Divisors: 1 3 9 13 17 27 39 43 51 81 117 129 153 221 243 351 387 459 559 663 731 1053 1161 1377 1677 1989 2193 3159 3483 4131 5031 5967 6579 9503 10449 15093 16603 17901 19737 28509 45279 49809 53703 59211 85527 135837 149427 177633 215839 256581 282251 448281 647517 713929 769743 846753 1344843 1942551 2141787 2309229 2540259 3669263 4034529 5827653 6425361 7620777 9281077 11007789 12136793 17482959 19276083 22862331 27843231 33023367 36410379 52448877 57828249 68586993 83529693 99070101 109231137 157778309 173484747 250589079 297210303 327693411 473334927 751767237 891630909 983080233 1420004781 2255301711 2949240699 4260014343 12780043029 38340129087