Search a number
-
+
25060975430400 = 2834527134789127
BaseRepresentation
bin1011011001010111101101…
…00010011100101100000000
310021201210202110121102210000
411230223312202130230000
511241044334202233100
6125144504141440000
75164411222262130
oct554536642345400
9107653673542700
1025060975430400
117a92333323988
122988b99b70000
1310ca316c1c020
14628d59c4aac0
152d6d60786900
hex16caf689cb00

25060975430400 has 4320 divisors, whose sum is σ = 118707922206720. Its totient is φ = 5076650557440.

The previous prime is 25060975430399. The next prime is 25060975430467. The reversal of 25060975430400 is 403457906052.

25060975430400 is a `hidden beast` number, since 2 + 5 + 0 + 60 + 9 + 7 + 543 + 0 + 40 + 0 = 666.

25060975430400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×250609754304002 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 197330515137 + ... + 197330515263.

It is an arithmetic number, because the mean of its divisors is an integer number (27478685696).

Almost surely, 225060975430400 is an apocalyptic number.

25060975430400 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 25060975430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59353961103360).

25060975430400 is an abundant number, since it is smaller than the sum of its proper divisors (93646946776320).

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

25060975430400 is a wasteful number, since it uses less digits than its factorization.

25060975430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 25060975430400 in words is "twenty-five trillion, sixty billion, nine hundred seventy-five million, four hundred thirty thousand, four hundred".