Search a number
-
+
545403125344 = 257111015034357
BaseRepresentation
bin1111110111111001000…
…11110011111001100000
31221010210002012110022111
413323330203303321200
532413441200002334
61054315453445104
754255412034230
oct7737443637140
91833702173274
10545403125344
111a0338933590
12898524a0794
133c57b725c0c
141c57d22bcc0
15e2c1b51064
hex7efc8f3e60

545403125344 has 192 divisors, whose sum is σ = 1354970115072. Its totient is φ = 209924352000.

The previous prime is 545403125339. The next prime is 545403125381. The reversal of 545403125344 is 443521304545.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 545403125297 and 545403125306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125176414 + ... + 125180770.

It is an arithmetic number, because the mean of its divisors is an integer number (7057136016).

Almost surely, 2545403125344 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 545403125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677485057536).

545403125344 is an abundant number, since it is smaller than the sum of its proper divisors (809566989728).

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

545403125344 is a wasteful number, since it uses less digits than its factorization.

545403125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 545403125344 its reverse (443521304545), we get a palindrome (988924429889).

The spelling of 545403125344 in words is "five hundred forty-five billion, four hundred three million, one hundred twenty-five thousand, three hundred forty-four".