Search a number
-
+
14853852389376 = 2133471121319107
BaseRepresentation
bin1101100000100110111010…
…0110000110000000000000
31221121000101111211112010000
43120021232212012000000
53421331142202430001
651331433211040000
73062104211043210
oct330115646060000
957530344745100
1014853852389376
114807535486600
1217ba939140000
13839934b1b580
14394d04a12240
151ab5b1d9da86
hexd826e986000

14853852389376 has 3360 divisors, whose sum is σ = 63782599668480. Its totient is φ = 3342391050240.

The previous prime is 14853852389267. The next prime is 14853852389377. The reversal of 14853852389376 is 67398325835841.

14853852389376 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 3 + 8 + 523 + 8 + 93 + 7 + 6 = 666.

It is a super-2 number, since 2×148538523893762 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1045094400) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14853852389377) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 138821050315 + ... + 138821050421.

It is an arithmetic number, because the mean of its divisors is an integer number (18982916568).

Almost surely, 214853852389376 is an apocalyptic number.

14853852389376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14853852389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891299834240).

14853852389376 is an abundant number, since it is smaller than the sum of its proper divisors (48928747279104).

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

14853852389376 is a wasteful number, since it uses less digits than its factorization.

14853852389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 162 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 14853852389376 in words is "fourteen trillion, eight hundred fifty-three billion, eight hundred fifty-two million, three hundred eighty-nine thousand, three hundred seventy-six".