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4254550560000 = 283254131729461
BaseRepresentation
bin111101111010010110111…
…110011000110100000000
3120001201201221110221211200
4331322112332120310000
51024201304420410000
613014302531541200
7616244505032466
oct75722676306400
916051657427750
104254550560000
1113a0387969a04
1258868845a800
1324b282884380
14109cc825c836
1575a0d54d500
hex3de96f98d00

4254550560000 has 2160 divisors, whose sum is σ = 18120870527760. Its totient is φ = 949616640000.

The previous prime is 4254550559969. The next prime is 4254550560011. The reversal of 4254550560000 is 650554524.

4254550560000 is a `hidden beast` number, since 4 + 2 + 5 + 45 + 5 + 0 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 3575548191744 + 679002368256 = 1890912^2 + 824016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9228959770 + ... + 9228960230.

It is an arithmetic number, because the mean of its divisors is an integer number (8389291911).

Almost surely, 24254550560000 is an apocalyptic number.

4254550560000 is a gapful number since it is divisible by the number (40) 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 4254550560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060435263880).

4254550560000 is an abundant number, since it is smaller than the sum of its proper divisors (13866319967760).

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

4254550560000 is a wasteful number, since it uses less digits than its factorization.

4254550560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 4254550560000 in words is "four trillion, two hundred fifty-four billion, five hundred fifty million, five hundred sixty thousand".