Search a number
-
+
25220012912640 = 212335713975167
BaseRepresentation
bin1011011101111111111011…
…11010010011000000000000
310022022000021001200121122000
411232333331322103000000
511301201041301201030
6125345525230544000
75212041300465120
oct556777572230000
9108260231617560
1025220012912640
118043824894217
1229b3983368000
13110c3109432c0
146329259acc80
152db06c998860
hex16effde93000

25220012912640 has 1664 divisors, whose sum is σ = 111510245253120. Its totient is φ = 5265269194752.

The previous prime is 25220012912531. The next prime is 25220012912651. The reversal of 25220012912640 is 4621921002252.

25220012912640 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 0 + 0 + 1 + 2 + 9 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a junction number, because it is equal to n+sod(n) for n = 25220012912595 and 25220012912604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4880975337 + ... + 4880980503.

Almost surely, 225220012912640 is an apocalyptic number.

25220012912640 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 25220012912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55755122626560).

25220012912640 is an abundant number, since it is smaller than the sum of its proper divisors (86290232340480).

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

25220012912640 is a wasteful number, since it uses less digits than its factorization.

25220012912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 25220012912640 its reverse (4621921002252), we get a palindrome (29841933914892).

The spelling of 25220012912640 in words is "twenty-five trillion, two hundred twenty billion, twelve million, nine hundred twelve thousand, six hundred forty".