Search a number
-
+
4554252144252 = 2232172931431631181
BaseRepresentation
bin100001001000101111010…
…0101001100111001111100
3121010101022122212220010200
41002101132211030321330
51044104102022104002
613404110005003500
7650014420334316
oct102213645147174
917111278786120
104554252144252
1114a64a1674018
126167899b3590
1327060591b2c5
1411a5d98c07b6
157d6ee912b1c
hex4245e94ce7c

4554252144252 has 576 divisors, whose sum is σ = 13412172533760. Its totient is φ = 1294871961600.

The previous prime is 4554252144227. The next prime is 4554252144259. The reversal of 4554252144252 is 2524412524554.

4554252144252 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 2 + 5 + 214 + 425 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4554252144198 and 4554252144207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4554252144259) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3856267102 + ... + 3856268282.

It is an arithmetic number, because the mean of its divisors is an integer number (23285021760).

Almost surely, 24554252144252 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 4554252144252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706086266880).

4554252144252 is an abundant number, since it is smaller than the sum of its proper divisors (8857920389508).

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

4554252144252 is a wasteful number, since it uses less digits than its factorization.

4554252144252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1469 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 45.

The spelling of 4554252144252 in words is "four trillion, five hundred fifty-four billion, two hundred fifty-two million, one hundred forty-four thousand, two hundred fifty-two".