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87251253120 = 27325149101663
BaseRepresentation
bin101000101000010010…
…1000111011110000000
322100012200121220021100
41101100211013132000
52412142310044440
6104025505054400
76206111262153
oct1212045073600
9270180556240
1087251253120
113400406a959
1214ab0327400
1382c64cb935
144319c19c9a
152409db8230
hex1450947780

87251253120 has 192 divisors, whose sum is σ = 303314544000. Its totient is φ = 23110619136.

The previous prime is 87251253113. The next prime is 87251253121. The reversal of 87251253120 is 2135215278.

87251253120 is a `hidden beast` number, since 8 + 72 + 51 + 2 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×872512531202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87251253121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807409 + ... + 909071.

It is an arithmetic number, because the mean of its divisors is an integer number (1579763250).

Almost surely, 287251253120 is an apocalyptic number.

87251253120 is a gapful number since it is divisible by the number (80) 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 87251253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151657272000).

87251253120 is an abundant number, since it is smaller than the sum of its proper divisors (216063290880).

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

87251253120 is a wasteful number, since it uses less digits than its factorization.

87251253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101837 (or 101822 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 87251253120 its reverse (2135215278), we get a palindrome (89386468398).

The spelling of 87251253120 in words is "eighty-seven billion, two hundred fifty-one million, two hundred fifty-three thousand, one hundred twenty".