Search a number
-
+
38750145421176 = 23327250330717223
BaseRepresentation
bin10001100111110001110001…
…01001110001111101111000
312002012110220021000220001200
420303320320221301331320
520034340244211434201
6214225323203014200
711106414504314250
oct1063707051617570
9162173807026050
1038750145421176
111138a931970022
12441a05536a360
13188117a3c7a97
1497d734ab6960
15472ea8314386
hex233e38a71f78

38750145421176 has 96 divisors (see below), whose sum is σ = 119988849077760. Its totient is φ = 11067046479936.

The previous prime is 38750145421159. The next prime is 38750145421177. The reversal of 38750145421176 is 67112454105783.

38750145421176 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 0 + 1 + 45 + 421 + 176 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38750145421177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14097100 + ... + 16620123.

It is an arithmetic number, because the mean of its divisors is an integer number (1249883844560).

Almost surely, 238750145421176 is an apocalyptic number.

38750145421176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38750145421176 is an abundant number, since it is smaller than the sum of its proper divisors (81238703656584).

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

38750145421176 is a wasteful number, since it uses less digits than its factorization.

38750145421176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30719745 (or 30719738 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 38750145421176 in words is "thirty-eight trillion, seven hundred fifty billion, one hundred forty-five million, four hundred twenty-one thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2503 5006 7509 10012 15018 17521 20024 22527 30036 35042 45054 52563 60072 70084 90108 105126 140168 157689 180216 210252 315378 420504 630756 1261512 30717223 61434446 92151669 122868892 184303338 215020561 245737784 276455007 368606676 430041122 552910014 645061683 737213352 860082244 1105820028 1290123366 1720164488 1935185049 2211640056 2580246732 3870370098 5160493464 7740740196 15481480392 76885209169 153770418338 230655627507 307540836676 461311255014 538196464183 615081673352 691966882521 922622510028 1076392928366 1383933765042 1614589392549 1845245020056 2152785856732 2767867530084 3229178785098 4305571713464 4843768177647 5535735060168 6458357570196 9687536355294 12916715140392 19375072710588 38750145421176