Search a number
-
+
4514952851136 = 263471326131201
BaseRepresentation
bin100000110110011100000…
…1010010010111011000000
3120222121212211022221210000
41001230320022102323000
51042433110412214021
613334050220440000
7644123512010610
oct101547012227300
916877784287700
104514952851136
1114908651a8482
1260b0406a9000
132699b1a94b00
1411874c3d2a40
157c69e6dcb26
hex41b38292ec0

4514952851136 has 840 divisors, whose sum is σ = 16603628468064. Its totient is φ = 1187824435200.

The previous prime is 4514952851119. The next prime is 4514952851137. The reversal of 4514952851136 is 6311582594154.

4514952851136 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 95 + 2 + 8 + 511 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4514952851137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3759327336 + ... + 3759328536.

Almost surely, 24514952851136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4514952851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301814234032).

4514952851136 is an abundant number, since it is smaller than the sum of its proper divisors (12088675616928).

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

4514952851136 is a wasteful number, since it uses less digits than its factorization.

4514952851136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1839 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 4514952851136 in words is "four trillion, five hundred fourteen billion, nine hundred fifty-two million, eight hundred fifty-one thousand, one hundred thirty-six".