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25540223412000 = 2535311436017487
BaseRepresentation
bin1011100111010100010111…
…11100011010011100100000
310100102121210002020101110110
411303222023330122130200
511321422334143141000
6130153003333131320
75244135355021233
oct563521374323440
9110377702211413
1025540223412000
118157603313850
122a45a49189b40
13113358193ba6b
14644220d4d41a
152e455e603850
hex173a8bf1a720

25540223412000 has 768 divisors, whose sum is σ = 93566716379136. Its totient is φ = 6036710400000.

The previous prime is 25540223411993. The next prime is 25540223412007. The reversal of 25540223412000 is 21432204552.

It is an interprime number because it is at equal distance from previous prime (25540223411993) and next prime (25540223412007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25540223412007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3411272257 + ... + 3411279743.

It is an arithmetic number, because the mean of its divisors is an integer number (121831661952).

Almost surely, 225540223412000 is an apocalyptic number.

25540223412000 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 25540223412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46783358189568).

25540223412000 is an abundant number, since it is smaller than the sum of its proper divisors (68026492967136).

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

25540223412000 is a wasteful number, since it uses less digits than its factorization.

25540223412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 25540223412000 its reverse (21432204552), we get a palindrome (25561655616552).

The spelling of 25540223412000 in words is "twenty-five trillion, five hundred forty billion, two hundred twenty-three million, four hundred twelve thousand".