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2534094950400 = 212325213316823
BaseRepresentation
bin100100111000000011110…
…101000101000000000000
322222020221102201111111100
4210320003311011000000
5313004311301403100
65220051441214400
7351040143451236
oct44700365050000
98866842644440
102534094950400
11897781599142
1234b15b331400
13154c6c261bc0
148a917d0a956
1545db6eb8400
hex24e03d45000

2534094950400 has 936 divisors, whose sum is σ = 10091576208896. Its totient is φ = 603566899200.

The previous prime is 2534094950393. The next prime is 2534094950407. The reversal of 2534094950400 is 40594904352.

2534094950400 is a `hidden beast` number, since 2 + 53 + 4 + 0 + 94 + 9 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2534094950393) and next prime (2534094950407).

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534094950407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371401389 + ... + 371408211.

Almost surely, 22534094950400 is an apocalyptic number.

2534094950400 is a gapful number since it is divisible by the number (20) 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 2534094950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045788104448).

2534094950400 is an abundant number, since it is smaller than the sum of its proper divisors (7557481258496).

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

2534094950400 is a wasteful number, since it uses less digits than its factorization.

2534094950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2534094950400 in words is "two trillion, five hundred thirty-four billion, ninety-four million, nine hundred fifty thousand, four hundred".