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12575002440 = 233571121331307
BaseRepresentation
bin10111011011000011…
…10100111101001000
31012110101002022102010
423231201310331020
5201223200034230
65435445535520
7623422520460
oct135541647510
935411068363
1012575002440
115373296500
12252b4145a0
13125531a360
14874138ba0
154d8ea19b0
hex2ed874f48

12575002440 has 768 divisors, whose sum is σ = 52853391360. Its totient is φ = 2326579200.

The previous prime is 12575002423. The next prime is 12575002483. The reversal of 12575002440 is 4420057521.

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

It is a junction number, because it is equal to n+sod(n) for n = 12575002398 and 12575002407.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40960767 + ... + 40961073.

It is an arithmetic number, because the mean of its divisors is an integer number (68819520).

Almost surely, 212575002440 is an apocalyptic number.

12575002440 is a gapful number since it is divisible by the number (10) 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 12575002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26426695680).

12575002440 is an abundant number, since it is smaller than the sum of its proper divisors (40278388920).

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

12575002440 is a wasteful number, since it uses less digits than its factorization.

12575002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

Adding to 12575002440 its reverse (4420057521), we get a palindrome (16995059961).

The spelling of 12575002440 in words is "twelve billion, five hundred seventy-five million, two thousand, four hundred forty".