Search a number
-
+
545540235400 = 235241794431901
BaseRepresentation
bin1111111000001001011…
…10110110000010001000
31221011010122012100221201
413330010232312002020
532414231300013100
61054341232313544
754261665330056
oct7740456660210
91834118170851
10545540235400
111a03a9271386
12898903a28b4
133c5a0c60a24
141c59351d1d6
15e2cdbd636a
hex7f04bb6088

545540235400 has 192 divisors, whose sum is σ = 1319428051200. Its totient is φ = 209614080000.

The previous prime is 545540235313. The next prime is 545540235403. The reversal of 545540235400 is 4532045545.

It is a super-2 number, since 2×5455402354002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 545540235400.

It is not an unprimeable number, because it can be changed into a prime (545540235403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286974450 + ... + 286976350.

It is an arithmetic number, because the mean of its divisors is an integer number (6872021100).

Almost surely, 2545540235400 is an apocalyptic number.

545540235400 is a gapful number since it is divisible by the number (50) 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 545540235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659714025600).

545540235400 is an abundant number, since it is smaller than the sum of its proper divisors (773887815800).

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

545540235400 is a wasteful number, since it uses less digits than its factorization.

545540235400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 37.

The spelling of 545540235400 in words is "five hundred forty-five billion, five hundred forty million, two hundred thirty-five thousand, four hundred".